Article
Physics, Particles & Fields
Theresa Abl, Martin Sprenger
Summary: This paper investigates the multi-Regge limit of scattering amplitudes in strongly-coupled N = 4 super Yang-Mills and finds that the set of possible excitations appearing in analytic continuation is constrained. It also shows that the BFKL eigenvalue of any possible Reggeon bound state is a multiple of the eigenvalue in the six-gluon case.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Tristan McLoughlin, Anne Spiering
Summary: This study investigates the spectrum of anomalous dimensions in planar N = 4 supersymmetric Yang-Mills theory and its deformations. It reveals that a specific deformation of the integrable N = 4 dilatation operator exhibits Wigner-Dyson level statistics at finite coupling but has slower cross-over to chaotic dynamics. For other deformations, it shows strong chaotic dynamics with a spectrum well described by random matrix theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Carlos Bercini, Vasco Goncalves, Alexandre Homrich, Pedro Vieira
Summary: In this study, we use the hexagon formalism to reduce the computation of three point function of three spinning operators with arbitrary polarizations in N = 4 SYM to a statistical mechanics problem. The hexagon partition function plays a central role in these correlation functions, and we explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. The establishment of the integrability approach allows us to study the large spin limit and investigate dualities with null Wilson loops and integrable pentagons.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Joao Caetano, Wolfger Peelaers, Leonardo Rastelli
Summary: The article revisits the leading irrelevant deformation of the N = 4 Super Yang-Mills theory and investigates the integrability of the spin-chain Hamiltonian in planar perturbation theory. While there are indications that a suitable deformation might preserve integrability, the two-loop calculation conducted by the authors did not settle this question. Accidental symmetry enhancement led to the recovery of the integrable Hamiltonian of undeformed N = 4 SYM up to this order.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
Ivan Kostov, Valentina B. Petkova
Summary: In this paper, we study the octagon form factor in N = 4 SYM theory to evaluate a class of four-point correlation functions. We construct an operator representation of the octagon with a finite bridge as an expectation value in the Fock space of free complex fermions, and derive determinant identities relating octagons with different bridges. The derivation is based on the expression of the octagon in terms of discrete fermionic oscillators and the existence of a previously conjectured similarity transformation, which is explicitly found here.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nikolay Gromov, Julius Julius, Nicolo Primi
Summary: In the study, a cusped Wilson line with J insertions of scalar fields in N = 4 SYM was considered, showing that in a certain limit the Feynman diagrams are integrable at all loop orders. The integrable system was identified as a quantum fishchain with open boundary conditions. The derivation of the Baxter equation for Q-functions and quantization condition for the spectrum allowed for numerical determination of the non-perturbative spectrum.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Daniele Dorigoni, Michael B. Green, Congkao Wen, Haitian Xie
Summary: The use of supersymmetric localisation has led to modular covariant expressions for integrated correlators of half-BPS operators in N = 4 supersymmetric Yang-Mills theory with a general classical gauge group. Generating functions for such integrated correlators have been determined, confirming previously conjectured formulae. This provides a systematic understanding of the relation between properties of these correlators at finite N and their expansions at large N, including a non-perturbative completion of the large-N expansion in terms of non-holomorphic modular functions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Fedor Levkovich-Maslyuk, Michelangelo Preti
Summary: We study the gamma-deformation of the planar N = 4 super Yang-Mills theory, which breaks all supersymmetries but is expected to preserve integrability. Using the Quantum Spectral Curve framework, we show that the operator Tr (phi(1)phi(1)) built from two scalars satisfies integrability and reproduce the known 1-loop prediction. The calculated results provide evidence that the gamma-deformed model is an integrable CFT at least in the planar limit.
JOURNAL OF HIGH ENERGY 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
Sergey Frolov, Davide Polvara, Alessandro Sfondrini
Summary: In this study, we investigate the kinematics of mixed-flux theories and consider the relativistic limit of the S matrix associated with the lightcone gauge. By completing the bootstrap program, including the dressing factors for fundamental particles and bound states, we provide an important test for the dressing factors of the full worldsheet model and gain new insights into the features of the model when the NSNS flux is low.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Laura Rado, Victor O. Rivelles, Renato Sanchez
Summary: In this work, we construct string backgrounds for Yang-Baxter deformations of the AdS4 x CP3 superstring generated by r-matrices satisfying the classical Yang-Baxter equation. The metric and NSNS two-form of the gravity dual corresponding to noncommutative and dipole deformations of ABJM theory, as well as a deformed background with Schrodinger symmetry, are obtained. The first two backgrounds can also be obtained by TsT transformations, while the last background leads to a new family of non-relativistic ABJM theories with Schrodinger symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Elli Pomoni, Randle Rabe, Konstantinos Zoubos
Summary: This paper explores spin chains capturing the spectral problem of 4d N = 2 SCFTs in the planar limit, uncovering a quasi-Hopf symmetry algebra in the quantum plane limit. The dynamical nature of these chains is demonstrated, with the SU(3) scalar sector mapped to a dynamic 15-vertex model. The study also reveals interesting phenomena when examining different sub-sectors of the scalar sector.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Dibakar Roychowdhury
Summary: In this study, bosonic string sigma models on warped BTZ x S-3 were explored both within and beyond the plane wave limit. By using the light cone gauge and conformal gauge, the corresponding Hamiltonian and spectrum associated with the pp wave strings were obtained, revealing a constant shift and corrections due to TsT transformations along the isometries of the target space manifold. The energy positivity constraint on the CFT2 spectrum was imposed to estimate an upper bound on the shift, and it was found that the spectra obtained using both approaches were identical, demonstrating equivalence.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
Stefano Baiguera, Troels Harmark, Yang Lei
Summary: This paper explores the limits of N = 4 super-Yang-Mills theory that approach BPS bounds. The resulting non-relativistic theories, known as Spin Matrix Theories, describe the effective dynamics near the BPS bounds and are obtained by reducing N = 4 SYM on a three-sphere and integrating out non-dynamical fields. Previous works have studied various subsectors in this limit, and this paper constructs the remaining Spin Matrix Theories near the 1/8-BPS subsectors. Hamiltonians are derived using the spherical reduction algorithm and shown to match the results from loop corrections. In the PSU(1,1 | 2) case, the positivity of the spectrum is proven by constructing cubic supercharges and their closure to the interacting Hamiltonian. The symmetry structure of the sectors is also analyzed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Barak Gabai, Dalimil Mazac, Andrei Shieber, Pedro Vieira, Yehao Zhou
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Till Bargheer, Frank Coronado, Pedro Vieira
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Till Bargheer, Vsevolod Chestnov, Volker Schomerus
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Lucia Cordova, Yifei He, Martin Kruczenski, Pedro Vieira
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Francesco Aprile, Pedro Vieira
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Review
Physics, Multidisciplinary
Fernando Alday, Philip Argyres, Madalena Lemos, Mario Martone, Leonardo Rastelli, Massimo Taronna, Sunil Mukhi, Lucia Cordova, Yifei He, Martin Kruczenski, Pedro Vieira, Elli Pomoni, Antoine Bourget, Amihay Hanany, Marco Fazzi, Simone Giacomelli, Masahito Yamazaki, Charlotte Kristjansen, Cyril Closset, Xinan Zhou, Agnese Bissi, Charlotte Sleight
Summary: This manuscript samples recent results in understanding the space of conformal field theories, with a focus on theories with extended supersymmetry. The majority of results were presented during the second Pollica summer workshop in 2019, focusing on mathematical and geometric tools for superconformal field theories. The manuscript serves as a partial summary of the workshop.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Carlos Bercini, Vasco Goncalves, Pedro Vieira
Summary: The passage discusses the exploration of conformal bootstrap for n > 4 point correlation functions, focusing on the correlation functions of the lightest scalar gauge invariant operators in planar non-Abelian conformal gauge theories. By examining the consistency of OPE in the snowflake channel, the structure constants of up to three large spin operators can be strongly constrained. In the N = 4 theory, these structure constants are completely determined through the duality to null polygonal Wilson loops and the recent exploration of the hexagon origin limit.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Andrea Guerrieri, Joao Penedones, Pedro Vieira
Summary: The study employs S-matrix bootstrap to investigate graviton scattering amplitudes in ten dimensions, leading to the exclusion of a negative region, approval of a garden region, and the exclusion of an intermediate swamp region. Interestingly, string theory appears to cover almost all the garden region at weak coupling and the swamp boundary at strong coupling.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Andrea L. Guerrieri, Joao Penedones, Pedro Vieira
Summary: The article demonstrates the use of numerical S-matrix bootstrap method to derive bounds on the Wilson coefficients controlling the low-energy dynamics of massless pions. This approach provides a proof of concept for deriving non-perturbative bounds on massless EFTs in more than two spacetime dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Enrico Olivucci, Pedro Vieira
Summary: Some important quantities in quantum field theory can be re-summed using a concept called stampede, which is a simple time-evolution process of particles. Stampede plays a crucial role in certain quantum field theories, governing leading logarithmic quantities. The leading euclidean OPE limit in fishnet theory and null double-scaling limits in N=4 SYM are notable examples. This work extends a beautiful bootstrap program to all octagon functions with arbitrary diagonal bridge length using these results.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Carlos Bercini, Vasco Goncalves, Alexandre Homrich, Pedro Vieira
Summary: By mapping the variables describing different physical quantities and calculating the normalization factors, the study demonstrates the correspondence between null polygonal hexagonal Wilson loops and spinning three point functions, providing a basis for further exploration of the dynamics underlying these dualities.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Carlos Bercini, Vasco Goncalves, Alexandre Homrich, Pedro Vieira
Summary: In this study, we use the hexagon formalism to reduce the computation of three point function of three spinning operators with arbitrary polarizations in N = 4 SYM to a statistical mechanics problem. The hexagon partition function plays a central role in these correlation functions, and we explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. The establishment of the integrability approach allows us to study the large spin limit and investigate dualities with null Wilson loops and integrable pentagons.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Enrico Olivucci, Pedro Vieira
Summary: We study correlation functions of single trace operators approaching the cusps of null polygons in a double-scaling limit. We find that these correlators can be uniquely fixed through a set of coupled lattice PDEs of Toda type. These results are applicable to most conformal gauge theories.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Andrea L. Guerrieri, Alexandre Homrich, Pedro Vieira
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
Carlos Bercini, Matheus Fabri, Alexandre Homrich, Pedro Vieira