Article
Physics, Particles & Fields
Anton Galajinsky
Summary: An N=1 supersymmetric extension of the Ruijsenaars-Schneider three-body model is constructed and its integrability is established. Three functionally independent Grassmann-odd constants of motion are given and their algebraic resolvability is proven. The supersymmetric generalization is used to build a novel integrable isospin extension of the Ruijsenaars-Schneider three-body system.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Sourav Roychowdhury, Dibakar Roychowdhury
Summary: In this study, we compute the spin 2 spectrum associated with massive graviton fluctuations in a-y-deformed Gaiotto-Maldacena background. This spectrum is holographically dual to the marginal deformations of N = 2 SCFTs in four dimensions. By analytically estimating the spectra for both the-y-deformed Abelian T dual (ATD) and non-Abelian T dual (NATD) cases, we find a continuous spectra associated with the breaking of U(1) isometry in the presence of the-y deformation. We also discuss the effects of adding flavour branes and the nature of the associated spin 2 operators in the dual N = 1 SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Lucia Castells-Tiestos, Jorge Casalderrey-Solana
Summary: This study investigates the production of gravitational waves by a thermalized plasma of N=4 Supersymmetric Yang Mills matter. The spectrum of gravitational waves is computed for different values of the coupling constant lambda, revealing qualitative and quantitative similarities between the strong coupling spectrum and the extrapolation of the perturbative results.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Giorgos Eleftheriou
Summary: The Schur index is calculated for a 4-dimensional N = 2 superconformal field theory, counting the bosonic and fermionic states that preserve 4 supercharges. The Schur indices of 4d N = 4 super Yang-Mills and N = 2 circular quiver gauge theories are examined, with the gauge groups U(N) or SU(N). The exponentially dominant part of their asymptotic expansions is calculated as the index parameter q approaches any root of unity. The results show that the indices do not capture the growth of states corresponding to a supersymmetric black hole that preserves 4 supercharges.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kevin Goldstein, Vishnu Jejjala, Yang Lei, Sam van Leuven, Wei Li
Summary: By computing the superconformal index of the N = 4 SU(N) Yang-Mills theory through a residue calculation, the study demonstrates the importance of modular properties of four-dimensional supersymmetric partition functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Mark Van Raamsdonk, Chris Waddell
Summary: In this paper, the authors studied the properties of U(N) N = 4 SYM theory under specific boundary conditions, showing that boundary F decreases under boundary renormalization group flows, and the leading terms at large N in the supergravity and localization results agree.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Mark Van Raamsdonk, Chris Waddell
Summary: The study focuses on solutions of type IIB string theory dual to N = 4 supersymmetric Yang-Mills theory, showing that the ETW brane can be pushed arbitrarily far to recover the missing half of Poincare AdS(5)xS(5). Additionally, it is demonstrated that there are 3D SCFTs whose dual includes a wedge of Poincare AdS(5)xS(5) with an angle close to pi.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Igal Arav, Jerome P. Gauntlett, Matthew M. Roberts, Christopher Rosen
Summary: The study constructs a family of AdS(4)x S(1)x S-5 S-fold solutions exhibiting nontrivial SL(2, Z) monodromy in the S-1 direction, which preserve a certain degree of supersymmetry under specified conditions. These solutions are related to N = 4 S-fold SCFT and N = 2 S-fold scenerios. Additionally, the research shows RG flows across dimensions and explores relationships between AdS(5) duals and various SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
James T. T. Liu, Neville Joshua Rajappa
Summary: It has been shown that the superconformal index of N=4 super-Yang Mills theory can be represented as a matrix integral. Recently, Murthy demonstrated that this integral can be expressed as a sum of terms corresponding to a giant graviton expansion of the index, and provided an explicit formula for a single giant graviton. In this study, similar explicit formulae are given for an arbitrary number of giant gravitons. Examples of 1/2 and 1/16 BPS indices are provided, and it is shown that the expansion of the matrix integral differs from the giant graviton expansion computed in the supergravity dual, indicating that the giant graviton expansion is not necessarily unique once two or more giant gravitons start appearing.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Nuclear
Hong-Zhe Zhang, Wan-Zhe Feng, Jun-Bao Wu
Summary: In this study, the correlation functions of Wilson (-'t Hooft) loops with chiral primary operators in the N = 4 supersymmetric Yang-Mills theory with S O(N) gauge symmetry were computed. The holographic dual description of this theory is the Type IIB superstring theory on the AdS(5) x RP5 background. The coefficients of the chiral primary operators in the operator product expansion of Wilson loops in different representations were computed and compared with those of the N = 4 SU(N) super Yang-Mills theory.
Article
Physics, Particles & Fields
Nikolay Bobev, Pieter Bomans
Summary: This article studies the importance of spin structures as defining data in 11d supergravity backgrounds with a free orbifold action. By studying the KK spectrum of lld supergravity on AdS(4) x S-7/Z(4), it is found that different spin structures lead to distinct holographically dual 3d SCFTs with different amounts of supersymmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yale Fan
Summary: Using recently developed Seifert fibering operators, a state-integral model for the topological quantum field theory dual to a given Seifert manifold was formulated for 3D N = 2 gauge theories. Focus was given to Seifert homology spheres with positive orbifold Euler characteristic, and a set of difference operators were shown to annihiliate the wavefunctions of this TQFT on hyperbolic three-manifolds. These findings provide intriguing clues to the structure of the underlying TQFT.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Mathematical
Martin Hallnas, Edwin Langmann, Masatoshi Noumi, Hjalmar Rosengren
Summary: The paper introduces four infinite families of mutually commuting difference operators, including the deformed elliptic Ruijsenaars operators. These operators provide a quantum mechanical description of two kinds of relativistic quantum mechanical particles, with direct proofs of the commutativity and other fundamental properties being given. The paper rigorously proves the quantum integrability of the deformed Ruijsenaars model.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2022)
Article
Physics, Particles & Fields
Lorenzo Coccia
Summary: In the large N limit, we compute the topologically twisted index of the 3d T[SU(N)] theory, utilizing recent results from five dimensional quiver gauge theories. Our calculation correctly reproduces the entropy of the universal black hole that can be embedded in the holographically dual solution.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Adam Chalabi, S. Prem Kumar, Andy O'Bannon, Anton Pribytok, Ronnie Rodgers, Jacopo Sisti
Summary: In this study, entanglement entropy of a spherical region in (3 + 1)-dimensional N = 4 supersymmetric SU(N) Yang-Mills theory was computed using holographic methods. It was found that the entanglement entropy monotonically decreases as the sphere's radius increases, which is consistent with certain theoretical expectations. The study also observed similar decreasing trends in the entanglement entropy of a symmetric-representation Wilson line screened in SU(N - 1), even though there is no established physical principle to explain this behavior.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
A. Levin, M. Olshanetsky, A. Zotov
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Physics, Particles & Fields
N. Slavnov, A. Zabrodin, A. Zotov
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Mathematical
A. Levin, M. Olshanetsky, A. Zotov
JOURNAL OF MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
M. Vasilyev, A. Zabrodin, A. Zotov
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2020)
Article
Physics, Multidisciplinary
I. A. Sechin, A. Zotov
THEORETICAL AND MATHEMATICAL PHYSICS
(2020)
Article
Physics, Multidisciplinary
A. Grekov, A. Zotov
Summary: This paper proposes a determinant representation for the generating function of the commuting Hamiltonians of the double elliptic integrable system using the intertwining matrix of the IRF-Vertex correspondence. The representation reproduces the eigenvalues of the Hamiltonians for the dual to elliptic Ruijsenaars model and provides an expression for the spectral curve and L-matrix. The L-matrix is a weighted average of Lax matrices with weights from the theta function series definition, satisfying the Manakov triple representation instead of the Lax equation, and its factorized structure is discussed.
Article
Mathematics, Applied
K. Atalikov, A. Zotov
Summary: This paper discusses the continuous version of the classical IRF-Vertex relation in the context of the Calogero-Moser-Sutherland models. The study is based on constructing modifications of infinite rank Higgs bundles over elliptic curves and their degenerations, and describes the previously predicted gauge equivalence between L-A pairs of Landau-Lifshitz type equations and 1 + 1 field theory generalization of the Calogero-Moser-Sutherland models. The sl(2) case is specifically studied, with explicit changes of variables obtained between rational, trigonometric, and elliptic models.
JOURNAL OF GEOMETRY AND PHYSICS
(2021)
Article
Physics, Multidisciplinary
I. A. Sechin, A. Zotov
Summary: In this study, a quadratic quantum algebra is constructed based on the dynamical RLL-relation for the quantum R-matrix associated with SL(NM)-bundles with a nontrivial characteristic class over an elliptic curve. This R-matrix generalizes existing matrices and the obtained quadratic relations provide a new set of relationships.
THEORETICAL AND MATHEMATICAL PHYSICS
(2021)
Article
Physics, Mathematical
A. Levin, M. Olshanetsky, A. Zotov
Summary: The paper introduces the notion of quasi-antisymmetric Higgs G-bundles over curves with marked points, replacing parabolic structures at marked points in parabolic Higgs bundles. By modifying the coadjoint orbits, the moduli space of the modified Higgs bundles remains the phase spaces of complex completely integrable systems. The paper also explores the symplectic quotient of the moduli space, introdues quasi-compact and quasi-normal Higgs bundles, and provides examples of integrable systems.
JOURNAL OF MATHEMATICAL PHYSICS
(2021)
Article
Physics, Particles & Fields
A. Grekov, A. Zotov
Summary: This paper proposes the limitation of an infinite number of particles in the dual to elliptic Ruijsenaars model using the Nazarov-Sklyanin approach, and describes the double-elliptization of the Cherednik construction. It derives an explicit expression in terms of the Cherednik operators, reducing to the generating function of Dell commuting Hamiltonians on the space of symmetric functions. Despite the non-commutativity of the double elliptic Cherednik operators, they can still be utilized for constructing the N -> infinity limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
A. Gorsky, M. Vasilyev, A. Zotov
Summary: In this study, we map the dualities observed in the integrable probabilities framework into the familiar dualities in the realm of integrable many-body systems. These dualities are counterparts and generalizations of the familiar quantum-quantum dualities between pairs of integrable systems. We provide a detailed example of a new duality between the discrete-time inhomogeneous multispecies TASEP model and the quantum Goldfish model.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
E. Trunina, A. Zotov
Summary: This paper describes the most general GL(NM) classical elliptic finite-dimensional integrable system, providing various models for different parameter values.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mathematics, Applied
M. Matushko, A. Zotov
Summary: We describe an integrable elliptic q-deformed anisotropic long-range spin chain. The Polychronakos freezing trick is applied to derive a set of commuting Hamiltonians for this spin chain, which is constructed using the elliptic Baxter-Belavin GL(M)R-matrix. The freezing trick is reduced to a set of elliptic function identities, serving as equilibrium conditions in the classical spinless Ruijsenaars-Schneider model.
Article
Physics, Multidisciplinary
M. Matushko, Andrei Zotov
Summary: In this paper, a commuting set of matrix-valued difference operators is proposed based on the elliptic Baxter-Belavin R-matrix in the fundamental representation of GL(M). In the scalar case M = 1, these operators are the elliptic Macdonald-Ruijsenaars operators, while in the general case they can be viewed as anisotropic versions of the quantum spin Ruijsenaars Hamiltonians. It is shown that commutativity of the operators for any M is equivalent to a set of R-matrix identities. The proof of identities is based on the properties of elliptic R-matrix including the quantum and the associative Yang-Baxter equations. As an application of the results, an elliptic version of the q-deformed Haldane-Shastry model is introduced.
ANNALES HENRI POINCARE
(2023)
Article
Physics, Particles & Fields
A. Zabrodin, A. Zotov
Summary: This article proposes a field extension of the classical elliptic Ruijsenaars-Schneider model and defines and derives it through two different methods. The first method defines the model through the trace of the L-matrix, resulting in a lattice field analogue. The second method defines the model through the investigation of elliptic families of solutions to the 2D Toda equation and proves that their equations of motion are Hamiltonian. The models obtained from these two methods are equivalent.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Bogdan Damski
Summary: In this paper, we discuss the dynamics of field configurations in the Proca theory of the real massive vector field, specifically focusing on a certain class of electric (magnetic) dipole-charged states. We construct these states to ensure that the long-distance structure of the mean electromagnetic field is initially set by the formula describing the electromagnetic field of the electric (magnetic) dipole. We analyze the evolution of this mean electromagnetic field over time and observe the phenomena of harmonic oscillations of the electric (magnetic) dipole moment far from the center of the initial field configuration, as well as the emergence of a spherical shock wave propagating at the speed of light near the center. Additionally, we discover a unique axisymmetric mean electric field configuration accompanying the mean magnetic field in magnetic dipole-charged states.
Article
Physics, Particles & Fields
Brett McInnes
Summary: The time-dependence of AdS black hole interior geometries poses challenges to holographic duality and the traversability of wormholes. Quantum circuit complexity of strongly coupled matter can address the first challenge. Data from a phenomenological model show an upper bound on the complexity growth rate, which becomes stricter with the addition of angular momentum. The slowing of black hole interior dynamics at high specific angular momentum also occurs.
Article
Physics, Particles & Fields
M. Beccaria, S. Giombi, A. A. Tseytlin
Summary: This article investigates the superconformal index Z of the 6d (2,0) theory on S5 x S1 and describes it using the quantum M2 brane theory in the large N limit. By studying M2 branes in a twisted product of thermal AdS7 and S4, the leading non-perturbative term at large N is shown to be reproduced by the 1-loop partition function of an instanton M2 brane wrapped on S1 x S2 with S2 c S4. Similarly, the partition function of a defect M2 brane wrapped on thermal AdS3 c AdS7 reproduces the BPS Wilson loop expectation value in the (2,0) theory. The article also comments on the analogy of these results with similar computations in the quantum M2 brane partition function in AdS4 x S7/DOUBLE-STRUCK CAPITAL Zk, which reproduced the corresponding localization expressions in the ABJM 3d gauge theory.
Article
Physics, Particles & Fields
Carlos Silva
Summary: This paper explores the nature of spacetime in quantum gravity based on a new version of the holographic principle that establishes a connection between string theory and polymer holonomy structures. The research findings suggest that, for this relationship to hold, spacetime must be perceived as emerging from a fundamental structure with degrees of freedom corresponding to quantum correlations only.
Article
Physics, Particles & Fields
A. Senol, H. Denizli, C. Helveci
Summary: This study investigates new physics using a Monte Carlo method, and the results show stronger limitations on anomalous quartic gauge couplings compared to previous experiments.
