Tanmoy Sengupta
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Tanmoy Sengupta has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Adarsh Sudhakar
The Institute of Mathematical Sciences
5 shared publications - Gerard M. T. Watts
Department of Mathematics King's College London Strand WC2R 2LS London United Kingdom
3 shared publications - Sujay K. Ashok
The Institute of Mathematical Sciences
3 shared publications - Faisal Karimi
Department of Mathematics King's College London Strand WC2R 2LS London United Kingdom
2 shared publications - Max Downing
Laboratoire de Physique de l' École Normale Supérieure ENS Université PSL CNRS Sorbonne Université Université Paris Cité F-75005 Paris France
2 shared publications - Ratul Mahanta
University of Winnipeg
2 shared publications
Latest Publications
- Open Access
- 21 August 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (8) , 168
Universal modular properties of generalized Gibbs ensembles and chiral deformations
A bstract: We study modular properties of conformal field theories perturbed by holomorphic fields. We prove an asymptotic formula for the modular S-transform of a generalized partition function that includes zero modes of higher spin holomorphic currents. The derivation makes use of general properties of torus correlation functions, in particular the Zhu recursion relation. The asymptotic expansion of the modular transformed partition function takes a universal form that is determined iteratively by the second order pole coefficients in the operator product expansion of the holomorphic currents. This proves and generalizes a conjecture regarding the modular transformation properties of generalized Gibbs ensembles.
- 21 August 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (8) , 168
Open AccessUniversal modular properties of generalized Gibbs ensembles and chiral deformations
A bstract: We study modular properties of conformal field theories perturbed by holomorphic fields. We prove an asymptotic formula for the modular S-transform of a generalized partition function that includes zero modes of higher spin holomorphic currents. The derivation makes use of general properties of torus correlation functions, in particular the Zhu recursion relation. The asymptotic expansion of the modular transformed partition function takes a universal form that is determined iteratively by the second order pole coefficients in the operator product expansion of the holomorphic currents. This proves and generalizes a conjecture regarding the modular transformation properties of generalized Gibbs ensembles.
- Open Access
- 10 June 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (6)
Modular properties of $ {\mathcal{W}}_3 $ generalised Gibbs ensemblesA bstract: In this paper we make a proposal for the solution to a long-standing problem — the asymptotic expansions of the modular S -transform of a generalised Gibbs ensemble (GGE) in a theory with $$ {\mathcal{W}}_3 $$ symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular S -transform of traces of arbitrary powers of the zero mode W 0 . We provide evidence in the form of exact results using Zhu’s recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value c = –2. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges.- 10 June 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (6)
Open AccessModular properties of $ {\mathcal{W}}_3 $ generalised Gibbs ensemblesA bstract: In this paper we make a proposal for the solution to a long-standing problem — the asymptotic expansions of the modular S -transform of a generalised Gibbs ensemble (GGE) in a theory with $$ {\mathcal{W}}_3 $$ symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular S -transform of traces of arbitrary powers of the zero mode W 0 . We provide evidence in the form of exact results using Zhu’s recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value c = –2. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges. - Open AccessModular Properties of $\mathcal{W}_3$ Generalised Gibbs EnsemblesIn this paper we make a proposal for the solution to a long-standing problem - the asymptotic expansions of the modular $S$-transform of a generalised Gibbs ensemble (GGE) in a theory with $\mathcal{W}_3$ symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular $S$-transform of traces of arbitrary powers of the zero mode $W_0$. We provide evidence in the form of exact results using Zhu's recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value $c=-2$. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges.Open AccessModular Properties of $\mathcal{W}_3$ Generalised Gibbs EnsemblesIn this paper we make a proposal for the solution to a long-standing problem - the asymptotic expansions of the modular $S$-transform of a generalised Gibbs ensemble (GGE) in a theory with $\mathcal{W}_3$ symmetry where the GGE includes the first non-trivial charge. Equivalently, we give a proposal for the modular $S$-transform of traces of arbitrary powers of the zero mode $W_0$. We provide evidence in the form of exact results using Zhu's recursion, results obtained using conjectured results for Verma modules, and exact results for the particular value $c=-2$. We expect these have generalisations to other symmetry algebras/hierarchies such as the Virasoro algebra/KdV charges, and to GGEs with arbitrary finite sets of charges.
- 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
- 19 July 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (7) , 1-47
Integrable structure of higher spin CFT and the ODE/IM correspondence
We study two dimensional systems with extended conformal symmetry generated by the $$ \mathcal{W} $$ 3 algebra. These are expected to have an infinite number of commuting conserved charges, which we refer to as the quantum Boussinesq charges. We compute the eigenvalues of the quantum Boussinesq charges in both the vacuum and first excited states of the higher spin module through the ODE/IM correspondence. By studying the higher spin conformal field theory on the torus, we also calculate thermal correlators involving the energy-momentum tensor and the spin-3 current by making use of the Zhu recursion relations. By combining these results, we show that it is possible to derive the current densities, whose integrals are the quantum Boussinesq charges. We also evaluate the thermal expectation values of the conserved charges, and show that these are quasi-modular differential operators acting on the character of the higher spin module.- 19 July 2024
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2024 (7) , 1-47
Open AccessIntegrable structure of higher spin CFT and the ODE/IM correspondence
We study two dimensional systems with extended conformal symmetry generated by the $$ \mathcal{W} $$ 3 algebra. These are expected to have an infinite number of commuting conserved charges, which we refer to as the quantum Boussinesq charges. We compute the eigenvalues of the quantum Boussinesq charges in both the vacuum and first excited states of the higher spin module through the ODE/IM correspondence. By studying the higher spin conformal field theory on the torus, we also calculate thermal correlators involving the energy-momentum tensor and the spin-3 current by making use of the Zhu recursion relations. By combining these results, we show that it is possible to derive the current densities, whose integrals are the quantum Boussinesq charges. We also evaluate the thermal expectation values of the conserved charges, and show that these are quasi-modular differential operators acting on the character of the higher spin module. - Open Access
- 15 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-45
Modular linear differential equations for four-point sphere conformal blocks
We construct modular linear differential equations (MLDEs) w.r.t. subgroups of the modular group whose solutions are Virasoro conformal blocks appearing in the expansion of a crossing symmetric 4-point correlator on the sphere. This uses a connection between crossing transformations and modular transformations. We focus specifically on second order MLDEs with the cases of all identical and pairwise identical operators in the correlator. The central charge, the dimensions of the above operators and those of the intermediate ones are expressed in terms of parameters that occur in such MLDEs. In doing so, the q-expansions of the solutions to the MLDEs are compared with those of Virasoro blocks; hence, Zamolodchikov’s elliptic recursion formula provides an important input. Using the actions of respective subgroups, bootstrap equations involving the associated 3-point coefficients have been set up and solved as well in terms of the MLDE parameters. We present explicit examples of MLDEs corresponding to BPZ and novel non-BPZ equations, as well as unitary and non-unitary CFTs.
- 15 February 2023
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (2) , 1-45
Open AccessModular linear differential equations for four-point sphere conformal blocks
We construct modular linear differential equations (MLDEs) w.r.t. subgroups of the modular group whose solutions are Virasoro conformal blocks appearing in the expansion of a crossing symmetric 4-point correlator on the sphere. This uses a connection between crossing transformations and modular transformations. We focus specifically on second order MLDEs with the cases of all identical and pairwise identical operators in the correlator. The central charge, the dimensions of the above operators and those of the intermediate ones are expressed in terms of parameters that occur in such MLDEs. In doing so, the q-expansions of the solutions to the MLDEs are compared with those of Virasoro blocks; hence, Zamolodchikov’s elliptic recursion formula provides an important input. Using the actions of respective subgroups, bootstrap equations involving the associated 3-point coefficients have been set up and solved as well in terms of the MLDE parameters. We present explicit examples of MLDEs corresponding to BPZ and novel non-BPZ equations, as well as unitary and non-unitary CFTs.
- Open Access
Modular linear differential equations for four-point sphere conformal blocks
We construct modular linear differential equations (MLDEs) w.r.t. subgroups of the modular group whose solutions are Virasoro conformal blocks appearing in the expansion of a crossing symmetric 4-point correlator on the sphere. This uses a connection between crossing transformations and modular transformations. We focus specifically on second order MLDEs with the cases of all identical and pairwise identical operators in the correlator. The central charge, the dimensions of the above operators and those of the intermediate ones are expressed in terms of parameters that occur in such MLDEs. In doing so, the $q$-expansions of the solutions to the MLDEs are compared with those of Virasoro blocks; hence, Zamolodchikov's elliptic recursion formula provides an important input. Using the actions of respective subgroups, bootstrap equations involving the associated 3-point coefficients have been set up and solved as well in terms of the MLDE parameters. We present explicit examples of MLDEs corresponding to BPZ and novel non-BPZ equations, as well as unitary and non-unitary CFTs.
Open AccessModular linear differential equations for four-point sphere conformal blocks
We construct modular linear differential equations (MLDEs) w.r.t. subgroups of the modular group whose solutions are Virasoro conformal blocks appearing in the expansion of a crossing symmetric 4-point correlator on the sphere. This uses a connection between crossing transformations and modular transformations. We focus specifically on second order MLDEs with the cases of all identical and pairwise identical operators in the correlator. The central charge, the dimensions of the above operators and those of the intermediate ones are expressed in terms of parameters that occur in such MLDEs. In doing so, the $q$-expansions of the solutions to the MLDEs are compared with those of Virasoro blocks; hence, Zamolodchikov's elliptic recursion formula provides an important input. Using the actions of respective subgroups, bootstrap equations involving the associated 3-point coefficients have been set up and solved as well in terms of the MLDE parameters. We present explicit examples of MLDEs corresponding to BPZ and novel non-BPZ equations, as well as unitary and non-unitary CFTs.