Roberto Tateo
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Roberto Tateo has a total of 101 co-authors. Here are the top co-authors by number of shared publications:
- Patrick Dorey
University of Durham
61 shared publications - Andrea Cavaglià
INFN sezione di Torino
15 shared publications - Stefano Negro
Center for Cosmology and Particle Physics, New York University, New York, USA
14 shared publications Clare Dunning
School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, UNITED KINGDOM OF GREAT BRITAIN AND NORTHERN IRELAND
13 shared publications- Davide Fioravanti
Sezione Dipartimento di Fisica e Astronomia INFN di Bologna Università di Bologna Via Irnerio 46 40126 Bologna Italy
12 shared publications - Diego Bombardelli
Dipartimento di Fisica and INFN Università di Torino Via P. Giuria 1 10125 Torino Italy
8 shared publications
Latest Publications
- Open Access
- 25 May 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (5) , 270
On the quantum spectral curve for AdS3 × S3 × S3 × S1 strings and the 𝔡(2, 1; α) Q-system
A bstract: In this paper, we put forward and discuss a proposal for a Quantum Spectral Curve (QSC) describing the planar spectrum of the holographic CFT dual to strings on AdS 3 × S 3 × S 3 × S 1 , a theory with global symmetry 𝔡(2 , 1; α ) ⊕2 . We focus mainly on the case when the radii of the two spheres are the same, i.e. α = 1 / 2, where the symmetry reduces to 𝔬𝔰𝔭(4|2) ⊕2 . In this case, our proposal is based on two copies of an 𝔬𝔰𝔭(4|2) Q-system, glued through the branch cuts of the Q-functions in a minimal way. We study in detail the ensuing analytic properties of the Q-functions in this proposal. Focusing on purely massive excitations, we consider the large worldsheet limit in which the QSC leads to a set of Asymptotic Bethe Ansatz (ABA) equations, yielding strong constraints on the (so-far unfixed) dressing factors of the worldsheet S-matrix. In a ℤ 2 -symmetric sector, our proposal is consistent with all previous results on the worldsheet S-matrix. However, in the non-symmetric case, we found a subtle incompatibility between the analytic constraints arising from the proposed QSC, the crossing equations present in the literature, and braiding unitarity. We discuss possible explanations for this mismatch: either our minimal QSC proposal does not hold beyond the symmetric sector, or the crossing unitarity equations receive a nontrivial correction that needs to be understood. Finally, we also propose a generalisation of the Q-system for the case of α ≠ 1 / 2, corresponding to the superalgebra 𝔡(2 , 1; α ). This novel algebraic structure represents a significant step towards understanding the Quantum Spectral Curve of the entire theory.
- 25 May 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (5) , 270
Open AccessOn the quantum spectral curve for AdS3 × S3 × S3 × S1 strings and the 𝔡(2, 1; α) Q-system
A bstract: In this paper, we put forward and discuss a proposal for a Quantum Spectral Curve (QSC) describing the planar spectrum of the holographic CFT dual to strings on AdS 3 × S 3 × S 3 × S 1 , a theory with global symmetry 𝔡(2 , 1; α ) ⊕2 . We focus mainly on the case when the radii of the two spheres are the same, i.e. α = 1 / 2, where the symmetry reduces to 𝔬𝔰𝔭(4|2) ⊕2 . In this case, our proposal is based on two copies of an 𝔬𝔰𝔭(4|2) Q-system, glued through the branch cuts of the Q-functions in a minimal way. We study in detail the ensuing analytic properties of the Q-functions in this proposal. Focusing on purely massive excitations, we consider the large worldsheet limit in which the QSC leads to a set of Asymptotic Bethe Ansatz (ABA) equations, yielding strong constraints on the (so-far unfixed) dressing factors of the worldsheet S-matrix. In a ℤ 2 -symmetric sector, our proposal is consistent with all previous results on the worldsheet S-matrix. However, in the non-symmetric case, we found a subtle incompatibility between the analytic constraints arising from the proposed QSC, the crossing equations present in the literature, and braiding unitarity. We discuss possible explanations for this mismatch: either our minimal QSC proposal does not hold beyond the symmetric sector, or the crossing unitarity equations receive a nontrivial correction that needs to be understood. Finally, we also propose a generalisation of the Q-system for the case of α ≠ 1 / 2, corresponding to the superalgebra 𝔡(2 , 1; α ). This novel algebraic structure represents a significant step towards understanding the Quantum Spectral Curve of the entire theory.
- Open Access
- 13 March 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (3) , 137
Graded S-matrices, generalised Gibbs ensembles and fractional-spin CDD deformations
A bstract: We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal ℤ n structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual hierarchy of integer-spin conserved charges and an additional tower of fractional-spin ones. Our construction relies on a reparametrisation of rapidity space that lifts standard scattering amplitudes to a multiplet related by an internal cyclic symmetry. This construction is naturally embedded within a generalised Gibbs ensemble, which provides the natural framework for a consistent graded Thermodynamic Bethe Ansatz. This leads to new Y-systems encoding the graded spectrum. In a special case, these functional relations match those obtained via the ODE/IM correspondence from the monodromy analysis of the quantum cubic oscillator. Even in the simplest models, for one sign of the auxiliary temperature, the finite-volume ground-state energy spectrum undergoes an infinite sequence of level crossings as the coupling strength increases. A preliminary analysis also suggests that these theories exhibit structural connections with cyclic orbifolds. Within this setup, one can consistently include extra CDD factors that realise fractional-spin analogues of the $$ T\overline{T} $$ deformation. In analytically tractable cases, a Hagedorn-like behaviour is observed for a sign of the flow parameter, and the deformed spectrum develops a finite limiting temperature.- 13 March 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (3) , 137
Open AccessGraded S-matrices, generalised Gibbs ensembles and fractional-spin CDD deformations
A bstract: We introduce and study a class of two-dimensional integrable quantum field theories that carry an internal ℤ n structure. These models extend factorised scattering beyond the conventional framework, featuring both the usual hierarchy of integer-spin conserved charges and an additional tower of fractional-spin ones. Our construction relies on a reparametrisation of rapidity space that lifts standard scattering amplitudes to a multiplet related by an internal cyclic symmetry. This construction is naturally embedded within a generalised Gibbs ensemble, which provides the natural framework for a consistent graded Thermodynamic Bethe Ansatz. This leads to new Y-systems encoding the graded spectrum. In a special case, these functional relations match those obtained via the ODE/IM correspondence from the monodromy analysis of the quantum cubic oscillator. Even in the simplest models, for one sign of the auxiliary temperature, the finite-volume ground-state energy spectrum undergoes an infinite sequence of level crossings as the coupling strength increases. A preliminary analysis also suggests that these theories exhibit structural connections with cyclic orbifolds. Within this setup, one can consistently include extra CDD factors that realise fractional-spin analogues of the $$ T\overline{T} $$ deformation. In analytically tractable cases, a Hagedorn-like behaviour is observed for a sign of the flow parameter, and the deformed spectrum develops a finite limiting temperature. - 20 February 2026
- Published by Springer Nature
- p. 13-29
A note on ${\text{T}}\overline{{\text{T}}}$ deformations and boundaries- 20 February 2026
- Published by Springer Nature
- p. 13-29
A note on ${\text{T}}\overline{{\text{T}}}$ deformations and boundaries- Top Cited PapersOpen Access
- 14 January 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (1) , 84
$T\overline{T}$ and root-$T\overline{T}$ deformations in four-dimensional Chern-Simons theoryA bstract: The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study $$T\overline{T}$$ and root- $$T\overline{T}$$ deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate $$\mathcal{E}$$ -model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model.- 14 January 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (1) , 84
Top Cited PapersOpen Access$T\overline{T}$ and root-$T\overline{T}$ deformations in four-dimensional Chern-Simons theoryA bstract: The four-dimensional Chern-Simons (CS) theory provides a systematic procedure for realizing two-dimensional integrable field theories. It is therefore a natural question to ask whether integrable deformations of the theories can be realized in the four-dimensional CS theory. In this work, we study $$T\overline{T}$$ and root- $$T\overline{T}$$ deformations of two-dimensional integrable field theories, formulated in terms of dynamical coordinate transformations, within the framework of four-dimensional CS theory coupled to disorder defects. We illustrate our procedure in detail for the degenerate $$\mathcal{E}$$ -model, a specific construction that captures and unifies a broad range of integrable systems, including the principal chiral model. - Open Access
- 10 July 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (7) , 1-61
Regge trajectories and bridges between them in integrable AdS/CFT
A bstract: We study the analytic continuation in the spin of the planar spectrum of ABJM theory using the integrability-based Quantum Spectral Curve (QSC) method. Under some minimal assumptions, we classify the analytic properties of the Q-functions appearing in the QSC compatible with the spin being non-integer. In this way, we find not one but two distinct possibilities. While one is related to standard Regge trajectories, we show that the second choice can be used to build bridges which connect leading and subleading Regge trajectories, thus giving a shortcut to reach infinitely many sheets of the spin Riemann surface without going explicitly around the branch points in the complex spin plane. Moreover, the bridges are exact spin reflections of standard Regge trajectories. Together, these results reveal the existence of a hidden symmetry which we call “twist/co-twist symmetry”: every non-BPS local operator has an exact image — living below unitarity on a different Regge trajectory — with the same ∆ and the spin flipped by a Weyl reflection. We discuss how an analogous phenomenon, based on the same mechanism at the level of the QSC, also occurs at non-perturbative level in $$ \mathcal{N} $$ =4 SYM. This provides a framework to understand recent independent observations of the symmetry in this model at weak and strong coupling. We present numerical results for Regge trajectories in planar ABJM theory, in particular we compute exactly the coupling dependence of the position of the leading Regge pole in the correlator of four stress tensors. The shape of this leading trajectory shows a behaviour at weak coupling that strongly resembles the BFKL limit in $$ \mathcal{N} $$ =4 SYM.- 10 July 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (7) , 1-61
Open AccessRegge trajectories and bridges between them in integrable AdS/CFT
A bstract: We study the analytic continuation in the spin of the planar spectrum of ABJM theory using the integrability-based Quantum Spectral Curve (QSC) method. Under some minimal assumptions, we classify the analytic properties of the Q-functions appearing in the QSC compatible with the spin being non-integer. In this way, we find not one but two distinct possibilities. While one is related to standard Regge trajectories, we show that the second choice can be used to build bridges which connect leading and subleading Regge trajectories, thus giving a shortcut to reach infinitely many sheets of the spin Riemann surface without going explicitly around the branch points in the complex spin plane. Moreover, the bridges are exact spin reflections of standard Regge trajectories. Together, these results reveal the existence of a hidden symmetry which we call “twist/co-twist symmetry”: every non-BPS local operator has an exact image — living below unitarity on a different Regge trajectory — with the same ∆ and the spin flipped by a Weyl reflection. We discuss how an analogous phenomenon, based on the same mechanism at the level of the QSC, also occurs at non-perturbative level in $$ \mathcal{N} $$ =4 SYM. This provides a framework to understand recent independent observations of the symmetry in this model at weak and strong coupling. We present numerical results for Regge trajectories in planar ABJM theory, in particular we compute exactly the coupling dependence of the position of the leading Regge pole in the correlator of four stress tensors. The shape of this leading trajectory shows a behaviour at weak coupling that strongly resembles the BFKL limit in $$ \mathcal{N} $$ =4 SYM. - Open Access
- 14 March 2025
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 134 (10) , 101603
-like Flows of Yang-Mills TheoriesWe study T T ¯ -like deformations of d > 2 Yang-Mills theories. The standard T T ¯ flows lead to multitrace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to T T ¯ , we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrized single-trace T T ¯ -like deformations, whose solutions in d = 4 include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.
- 14 March 2025
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 134 (10) , 101603
Open Access-like Flows of Yang-Mills TheoriesWe study T T ¯ -like deformations of d > 2 Yang-Mills theories. The standard T T ¯ flows lead to multitrace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to T T ¯ , we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrized single-trace T T ¯ -like deformations, whose solutions in d = 4 include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.
- Open Access
- 29 January 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (1) , 1-24
Thermal correlators and currents of the $ {\mathcal{W}}_3 $ algebraA bstract: Two dimensional conformal field theories with the extended $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the $$ {\mathcal{W}}_3 $$ algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy.- 29 January 2025
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2025 (1) , 1-24
Open AccessThermal correlators and currents of the $ {\mathcal{W}}_3 $ algebraA bstract: Two dimensional conformal field theories with the extended $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the $$ {\mathcal{W}}_3 $$ algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy. - Open Access
Solutions to the Ricci Flow via Einstein Field Equations
We show how solutions to the Ricci flow on Lorentzian manifolds, along with its generalizations, can be linked to Einstein's field equations. The approach involves deformations of the matter sector that are generated by quadratic functionals of the stress-energy tensor. We provide illustrative examples by explicitly constructing analytical solutions within maximally symmetric spacetimes and in the context of Born-Infeld's nonlinear electrodynamics. Finally, we discuss configurations involving global topological monopoles, emphasizing the versatility of this approach across various geometric and physical settings.
Open AccessSolutions to the Ricci Flow via Einstein Field Equations
We show how solutions to the Ricci flow on Lorentzian manifolds, along with its generalizations, can be linked to Einstein's field equations. The approach involves deformations of the matter sector that are generated by quadratic functionals of the stress-energy tensor. We provide illustrative examples by explicitly constructing analytical solutions within maximally symmetric spacetimes and in the context of Born-Infeld's nonlinear electrodynamics. Finally, we discuss configurations involving global topological monopoles, emphasizing the versatility of this approach across various geometric and physical settings.
- Open AccessThermal Correlators and Currents of the $\mathcal{W}_3$ AlgebraTwo dimensional conformal field theories with the extended $\mathcal{W}_3$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the W3 algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy.Open AccessThermal Correlators and Currents of the $\mathcal{W}_3$ AlgebraTwo dimensional conformal field theories with the extended $\mathcal{W}_3$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. In this work we construct local operators whose zero modes are precisely these conserved charges. For this purpose we study the higher spin conformal field theory on the torus and compute thermal correlators involving the stress tensor and the spin-3 current in a higher spin module of the W3 algebra. In addition we independently obtain the excited state eigenvalues of the quantum Boussinesq charges within the higher spin module via the ODE/IM correspondence. A judicious combination of these data allows us to derive the local operators, whose integrals are the conserved charges of the integrable hierarchy.
- Open Access
${T\overline{T}}$-like Flows of Yang-Mills Theories
We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.Open Access${T\overline{T}}$-like Flows of Yang-Mills Theories
We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.