Evgeny I. Buchbinder
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Evgeny I. Buchbinder has a total of 27 co-authors. Here are the top co-authors by number of shared publications:
- Andre Lukas
University of Oxford
20 shared publications - Sergei M. Kuzenko
The University of Western Australia
18 shared publications - Benjamin J. Stone
Department of Physics M013, The University of Western Australia, 35 Stirling Highway, Crawley, Western Australia 6009, Australia
13 shared publications - Andrei Constantin
University of Birmingham
11 shared publications - Burt A. Ovrut
University of Pennsylvania
8 shared publications - Stefan Blesneag
Oxford University
6 shared publications
Latest Publications
- Open Access
- 19 October 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (10) , 198
Gauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets
A bstract: Making use of the known off-shell formulations for massless higher-spin 𝒩 = 1 supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin 𝒩 = 2 supermultiplets in three dimensions (3D) are derived by Kaluza-Klein reduction in superspace. To illustrate the formalism, we also construct, for the first time, massive gauge-invariant 3D 𝒩 = 2 supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories. Our off-shell 𝒩 = 2 supermultiplets carry a non-zero central charge, and are formulated in 3D 𝒩 = 2 central charge superspace. The models can be reduced to 3D 𝒩 = 1 superspace, by integrating out two Grassmann variables, and then consistent reality conditions on the superfields can be imposed. As a result, only two supercharges remain unbroken.
- 19 October 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (10) , 198
Open AccessGauge-invariant off-shell formulations for 3D massive higher-spin supermultiplets
A bstract: Making use of the known off-shell formulations for massless higher-spin 𝒩 = 1 supermultiplets in four dimensions, gauge-invariant off-shell actions for massive higher-spin 𝒩 = 2 supermultiplets in three dimensions (3D) are derived by Kaluza-Klein reduction in superspace. To illustrate the formalism, we also construct, for the first time, massive gauge-invariant 3D 𝒩 = 2 supersymmetric counterparts of the linearised actions for the old and new minimal supergravity theories. Our off-shell 𝒩 = 2 supermultiplets carry a non-zero central charge, and are formulated in 3D 𝒩 = 2 central charge superspace. The models can be reduced to 3D 𝒩 = 1 superspace, by integrating out two Grassmann variables, and then consistent reality conditions on the superfields can be imposed. As a result, only two supercharges remain unbroken.
- Open Access
- 8 October 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (10) , 85
Heterotic flux vacua with a small superpotential
A bstract: We study heterotic Calabi-Yau compactifications with NSNS three-form flux in view of moduli stabilisation and investigate whether the value | W 0 | of the flux superpotential evaluated at supersymmetric minima can be small. Unlike in type IIB string theory, heterotic compactifications lack a no-scale structure, so that a non-vanishing flux superpotential generically induces a tree-level scalar potential for all moduli. Controlled moduli stabilisation therefore requires the flux superpotential to be sufficiently small in order to compete with non-perturbative effects. Working within a four-dimensional effective field theory and exploiting the special geometry of Calabi-Yau complex structure moduli spaces, we analyse the complex structure F-term equations and derive two no-go theorems: (1) supersymmetric vacua with vanishing | W 0 |, which would lead to a vanishing tree-level scalar potential as in type IIB, occur only at singular loci in moduli space, and (2) no supersymmetric vacua with small | W 0 | exist in the large complex structure limit. Motivated by these results, we analyse explicit models away from the large complex structure regime using exact period expressions and identify one- and two-parameter examples in which suitable flux choices allow for values of | W 0 | of order unity, with some one-parameter models admitting values moderately below unity. Our findings show that small heterotic flux superpotentials are highly constrained, with the values of | W 0 | found in the examples studied being only marginally compatible with moduli stabilisation.
- 8 October 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (10) , 85
Open AccessHeterotic flux vacua with a small superpotential
A bstract: We study heterotic Calabi-Yau compactifications with NSNS three-form flux in view of moduli stabilisation and investigate whether the value | W 0 | of the flux superpotential evaluated at supersymmetric minima can be small. Unlike in type IIB string theory, heterotic compactifications lack a no-scale structure, so that a non-vanishing flux superpotential generically induces a tree-level scalar potential for all moduli. Controlled moduli stabilisation therefore requires the flux superpotential to be sufficiently small in order to compete with non-perturbative effects. Working within a four-dimensional effective field theory and exploiting the special geometry of Calabi-Yau complex structure moduli spaces, we analyse the complex structure F-term equations and derive two no-go theorems: (1) supersymmetric vacua with vanishing | W 0 |, which would lead to a vanishing tree-level scalar potential as in type IIB, occur only at singular loci in moduli space, and (2) no supersymmetric vacua with small | W 0 | exist in the large complex structure limit. Motivated by these results, we analyse explicit models away from the large complex structure regime using exact period expressions and identify one- and two-parameter examples in which suitable flux choices allow for values of | W 0 | of order unity, with some one-parameter models admitting values moderately below unity. Our findings show that small heterotic flux superpotentials are highly constrained, with the values of | W 0 | found in the examples studied being only marginally compatible with moduli stabilisation.
- Open Access
- 4 May 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (5)
Heat kernel approach to the one-loop effective action for nonlinear electrodynamics
A bstract: We develop a heat kernel method to compute the one-loop effective action for a general class of nonlinear electrodynamic (NLED) theories in four dimensional Minkowski spacetime. Working in the background field formalism, we extract the logarithmically divergent part of the effective action, the so-called induced action , corresponding to the DeWitt a 2 coefficient of the heat kernel. In NLED, quantisation yields non-minimal differential operators, for which standard heat kernel techniques are not immediately applicable. Considering the weak-field regime, we calculate the a 0 , a 1 and a 2 contributions to leading order in the background electromagnetic field strength. Finally, we consider conformal NLED theories and compute the a 0 contribution to all orders. For this class, we comment on the role of causality being necessary and sufficient for the convergence of the exact a 1 and a 2 contributions.
- 4 May 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (5)
Open AccessHeat kernel approach to the one-loop effective action for nonlinear electrodynamics
A bstract: We develop a heat kernel method to compute the one-loop effective action for a general class of nonlinear electrodynamic (NLED) theories in four dimensional Minkowski spacetime. Working in the background field formalism, we extract the logarithmically divergent part of the effective action, the so-called induced action , corresponding to the DeWitt a 2 coefficient of the heat kernel. In NLED, quantisation yields non-minimal differential operators, for which standard heat kernel techniques are not immediately applicable. Considering the weak-field regime, we calculate the a 0 , a 1 and a 2 contributions to leading order in the background electromagnetic field strength. Finally, we consider conformal NLED theories and compute the a 0 contribution to all orders. For this class, we comment on the role of causality being necessary and sufficient for the convergence of the exact a 1 and a 2 contributions.
- Open Access
- 11 February 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (2) , 122
Massless higher-spin supermultiplets in 5D harmonic superspace
A bstract: Off-shell actions for massless higher-spin $$ \mathcal{N}=1 $$ supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the q -hypermultiplet are derived. We also provide a detailed derivation of the unconstrained prepotential for the 5D Weyl supermultiplet which has been used within the conformal superspace approach to $$ \mathcal{N}=1 $$ supergravity-matter systems.- 11 February 2026
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2026 (2) , 122
Open AccessMassless higher-spin supermultiplets in 5D harmonic superspace
A bstract: Off-shell actions for massless higher-spin $$ \mathcal{N}=1 $$ supermultiplets in five dimensions (5D) are constructed in harmonic superspace in terms of unconstrained prepotentials. Cubic couplings of these supermultiplets to the q -hypermultiplet are derived. We also provide a detailed derivation of the unconstrained prepotential for the 5D Weyl supermultiplet which has been used within the conformal superspace approach to $$ \mathcal{N}=1 $$ supergravity-matter systems. - Open Access
- 17 October 2024
- Published by American Physical Society (APS) in Physical Review D
- Vol. 110 (8)
Three-point functions of higher-spin supercurrents in 4D SCFT: General formalism for arbitrary superspinsWe analyze the general structure of the three-point functions involving conserved higher-spin “vectorlike” supercurrents J s ( z ) ≔ J α ( s ) α ˙ ( s ) ( z ) in four-dimensional N = 1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨ J s 1 ( z 1 ) J s 2 ′ ( z 2 ) J s 3 ′′ ( z 3 ) ⟩ and provide a general classification of the results. We demonstrate that the three-point function is fixed up to 2 min ( s i ) + 2 independent conserved structures, which we propose to hold for arbitrary superspins. In addition, we show that the conserved structures can be classified as parity-even or parity-odd in superspace based on their transformation properties under superinversion. Published by the American Physical Society 2024
- 17 October 2024
- Published by American Physical Society (APS) in Physical Review D
- Vol. 110 (8)
Open AccessThree-point functions of higher-spin supercurrents in 4D SCFT: General formalism for arbitrary superspinsWe analyze the general structure of the three-point functions involving conserved higher-spin “vectorlike” supercurrents J s ( z ) ≔ J α ( s ) α ˙ ( s ) ( z ) in four-dimensional N = 1 superconformal field theory. Using the constraints of superconformal symmetry and superfield conservation equations, we utilize a computational approach to analyze the general structure of the three-point function ⟨ J s 1 ( z 1 ) J s 2 ′ ( z 2 ) J s 3 ′′ ( z 3 ) ⟩ and provide a general classification of the results. We demonstrate that the three-point function is fixed up to 2 min ( s i ) + 2 independent conserved structures, which we propose to hold for arbitrary superspins. In addition, we show that the conserved structures can be classified as parity-even or parity-odd in superspace based on their transformation properties under superinversion. Published by the American Physical Society 2024
- Open AccessCorrelation functions of spinor current multiplets in ${\mathcal N}=1$ superconformal theoryWe consider ${\mathcal N}=1$ superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet $S_{\alpha}$ and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with ${\mathcal N}=2$ supersymmetry and contains the current of the second supersymmetry. However, we do not assume ${\mathcal N}=2$ supersymmetry. We show that the three-point function of two spinor current multiplets and the ${\mathcal N}=1$ supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the ${\mathcal N}=2$ supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in ${\mathcal N}=1$ superconformal field theory does not necessarily imply ${\mathcal N}=2$ superconformal symmetry.Open AccessCorrelation functions of spinor current multiplets in ${\mathcal N}=1$ superconformal theoryWe consider ${\mathcal N}=1$ superconformal field theories in four dimensions possessing an additional conserved spinor current multiplet $S_{\alpha}$ and study three-point functions involving such an operator. A conserved spinor current multiplet naturally exists in superconformal theories with ${\mathcal N}=2$ supersymmetry and contains the current of the second supersymmetry. However, we do not assume ${\mathcal N}=2$ supersymmetry. We show that the three-point function of two spinor current multiplets and the ${\mathcal N}=1$ supercurrent depends on three independent tensor structures and, in general, is not contained in the three-point function of the ${\mathcal N}=2$ supercurrent. It then follows, based on symmetry considerations only, that the existence of one more Grassmann odd current multiplet in ${\mathcal N}=1$ superconformal field theory does not necessarily imply ${\mathcal N}=2$ superconformal symmetry.
- Open Access
- 11 October 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 108 (8) , 086017
Three-point functions of conserved currents in 4D CFT: General formalism for arbitrary spins
We analyze the general structure of the three-point functions involving conserved higher-spin currents belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyze the general structure of three-point functions for arbitrary spins and propose a classification of the results. For bosonic vectorlike currents with , it is known that the number of independent conserved structures is . For the three-point functions of conserved currents with arbitrarily many dotted and undotted indices, we show that in many cases the number of structures deviates from .- 11 October 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 108 (8) , 086017
Open AccessThree-point functions of conserved currents in 4D CFT: General formalism for arbitrary spins
We analyze the general structure of the three-point functions involving conserved higher-spin currents belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyze the general structure of three-point functions for arbitrary spins and propose a classification of the results. For bosonic vectorlike currents with , it is known that the number of independent conserved structures is . For the three-point functions of conserved currents with arbitrarily many dotted and undotted indices, we show that in many cases the number of structures deviates from . - Open Access
- 7 August 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 108 (4) , 046001
Grassmann-odd three-point functions of conserved supercurrents in 3D SCFTWe consider the analytic construction of three-point functions of conserved higher-spin supercurrents in three-dimensional superconformal field theory which are Grassmann-odd in superspace. In particular, these include the three-point functions of the supercurrent and flavor currents, which contain the three-point functions of the energy-momentum tensor and conserved vector currents at the component level. We present an analytic proof for arbitrary superspins that these correlators do not possess a parity-violating contribution. We also prove that the parity-even contribution is unique, and exists (under an assumption that is well supported by the computational approach of arXiv:2302.00593) for arbitrary superspins. The construction of the parity-even sector is shown to reduce to solving a system of linear homogeneous equations with a tridiagonal matrix of corank one, which we solve explicitly for arbitrary superspins.- 7 August 2023
- Published by American Physical Society (APS) in Physical Review D
- Vol. 108 (4) , 046001
Open AccessGrassmann-odd three-point functions of conserved supercurrents in 3D SCFTWe consider the analytic construction of three-point functions of conserved higher-spin supercurrents in three-dimensional superconformal field theory which are Grassmann-odd in superspace. In particular, these include the three-point functions of the supercurrent and flavor currents, which contain the three-point functions of the energy-momentum tensor and conserved vector currents at the component level. We present an analytic proof for arbitrary superspins that these correlators do not possess a parity-violating contribution. We also prove that the parity-even contribution is unique, and exists (under an assumption that is well supported by the computational approach of arXiv:2302.00593) for arbitrary superspins. The construction of the parity-even sector is shown to reduce to solving a system of linear homogeneous equations with a tridiagonal matrix of corank one, which we solve explicitly for arbitrary superspins. - Open Access
Three-point functions of conserved currents in 4D CFT: general formalism for arbitrary spins
We analyse the general structure of the three-point functions involving conserved higher-spin currents $J_{s} := J_{α(i) \dotα(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyse the general structure of three-point functions $\langle J^{}_{s_{1}} J'_{s_{2}} J''_{s_{3}} \rangle$ for arbitrary spins and propose a classification of the results. For bosonic vector-like currents with $i=j$, it is known that the number of independent conserved structures is $2 \min (s_{i}) + 1$. For the three-point functions of conserved currents with arbitrarily many dotted and undotted indices, we show that in many cases the number of structures deviates from $2 \min (s_{i}) + 1$.Open AccessThree-point functions of conserved currents in 4D CFT: general formalism for arbitrary spins
We analyse the general structure of the three-point functions involving conserved higher-spin currents $J_{s} := J_{α(i) \dotα(j)}$ belonging to any Lorentz representation in four-dimensional conformal field theory. Using the constraints of conformal symmetry and conservation equations, we computationally analyse the general structure of three-point functions $\langle J^{}_{s_{1}} J'_{s_{2}} J''_{s_{3}} \rangle$ for arbitrary spins and propose a classification of the results. For bosonic vector-like currents with $i=j$, it is known that the number of independent conserved structures is $2 \min (s_{i}) + 1$. For the three-point functions of conserved currents with arbitrarily many dotted and undotted indices, we show that in many cases the number of structures deviates from $2 \min (s_{i}) + 1$. - Open Access
Three-point functions of fermionic higher-spin currents in 4D conformal field theory
We investigate the properties of a four-dimensional conformal field theory possessing a fermionic higher-spin current $Q_{\alpha(2k) \dot{\alpha}}$. Using a computational approach, we examine the number of independent tensor structures contained in the three-point correlation functions of two fermionic higher-spin currents with the conserved vector current $V_{m}$, and with the energy-momentum tensor $T_{m n}$. In particular, the $k = 1$ case corresponds to a "supersymmetry-like" current, that is, a fermionic conserved current with identical properties to the supersymmetry current which appears in $\mathcal{N} = 1$ superconformal field theories. However, we show that in general, the three-point correlation functions $\langle Q Q T\rangle $, $\langle \bar{Q} Q V\rangle $ and $\langle \bar{Q} Q T\rangle $ are not consistent with $\mathcal{N}=1$ supersymmetryOpen AccessThree-point functions of fermionic higher-spin currents in 4D conformal field theory
We investigate the properties of a four-dimensional conformal field theory possessing a fermionic higher-spin current $Q_{\alpha(2k) \dot{\alpha}}$. Using a computational approach, we examine the number of independent tensor structures contained in the three-point correlation functions of two fermionic higher-spin currents with the conserved vector current $V_{m}$, and with the energy-momentum tensor $T_{m n}$. In particular, the $k = 1$ case corresponds to a "supersymmetry-like" current, that is, a fermionic conserved current with identical properties to the supersymmetry current which appears in $\mathcal{N} = 1$ superconformal field theories. However, we show that in general, the three-point correlation functions $\langle Q Q T\rangle $, $\langle \bar{Q} Q V\rangle $ and $\langle \bar{Q} Q T\rangle $ are not consistent with $\mathcal{N}=1$ supersymmetry