Article
Astronomy & Astrophysics
L. A. Ferreira, H. Malavazzi
Summary: Self-duality plays a crucial role in the study and application of topological solitons, leading to the development of exact methods and nonperturbative techniques. The paper presents a generalization of the Yang-Mills-Higgs system by introducing scalar fields in a symmetric and invertible matrix, maintaining conformal invariance in three-dimensional space. The model allows new scalar fields to adjust themselves to solve modified self-duality equations for various configurations of gauge and Higgs fields.
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
Roland Bittleston, David Skinner
Summary: We demonstrate the close relationship between the approaches to integrable systems using 4d Chern-Simons theory and symmetry reductions of the anti-self-dual Yang-Mills equations, at least in the classical case. By starting from holomorphic Chern-Simons theory on twistor space and performing symmetry reductions, we obtain theories for 2d integrable systems and 4d Chern-Simons theory with disorder defects. Additionally, a reduction by a single translation leads to a 5d partially holomorphic Chern-Simons theory describing the Bogomolny equations.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Olaf Lechtenfeld, Maximilian Rupprecht
Summary: A universal formula for the Nicolai map using a coupling flow functional differential operator has been found recently. The full perturbative expansion of this operator in Yang-Mills theories with off-shell supersymmetry is presented, allowing for the computation of the explicit Nicolai map to any order in the gauge coupling. This work extends the previously known construction method to arbitrary gauges and from the gauge hypersurface to the full gauge-field configuration space.
Article
Physics, Multidisciplinary
Benjamin Basso, Alessandro Georgoudis, Arthur Klemenchuk Sueiro
Summary: We propose a conjecture for the three-point functions of single-trace operators in planar N=4 super-Yang-Mills theory at finite coupling, specifically when two operators are protected. Our proposal is based on the hexagon representation for structure constants of long operators, which we extend to incorporate operators of arbitrary length using data from the TBA-QSC formalism. We perform various tests of our conjecture, finding agreement with the gauge theory through 5 loops for the shortest three-point function and with string theory in the classical limit.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Fei Yan
Summary: In this study, we investigate the exact WKB method for the quantum Seiberg-Witten curve of 4d N = 2 pure SU(3) Yang-Mills in the language of abelianization. We explore the relevant differential equation, its solutions, and associated Stokes phenomena using the exact WKB method. Additionally, we investigate the exact quantization condition for a specific spectral problem. Our analysis also leads us to consider new Darboux coordinates on a moduli space of flat SL(3,C)-connections and numerical analysis supports the conjecture that these coordinates have asymptotic expansions given by the formal quantum periods series.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Nihat Sadik Deger, Jan Rosseel
Summary: A three-dimensional, N = 1 off-shell supersymmetric massive Yang-Mills theory is constructed, with a YM equation that is third-way consistent, achieved by modifying the massive Majorana spinor equation to give a modified YM equation.
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
Astronomy & Astrophysics
J. Lai
Summary: In this study, we calculate the corrections to the coupling constant in the long-distance effective theory of center-stabilized SU(N) Yang-Mills theories on R3 x S1, and show that the results align with previous studies. Additionally, our findings provide an intuitive interpretation of the coupling constant running in the context of the nonperturbative emergent latticized fourth dimension.
Article
Astronomy & Astrophysics
Andreas Athenodorou, Marco Cardinali, Massimo D'Elia
Summary: The study shows that in the trace deformed Yang-Mills theory, the glueball mass remains consistent with its value at zero temperature when center symmetry is restored, and is not significantly affected by the compactification radius. Additionally, a connection between the deformation parameter and effective compactification size has been established.
Article
Physics, Particles & Fields
Tung Tran
Summary: The inverse Penrose transform for self-dual Yang-Mills and its higher-spin extensions is presented on a flat background. The twistor action for the higher-spin extension of SDYM is of BT-type, and a new action describing a higher-spin extension of Yang-Mills theory is discovered through a deformation away from the self-dual sector of HS-SDYM. The twistor action for HS-YM is a straightforward generalization of the Yang-Mills one.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida
Summary: This paper introduces various deformed T-1,T-1 manifolds proposed by Arutyunov, Bassi and Lacroix for classical integrability of 2D non-linear sigma models. The ABL model is derived from a 4D Chern-Simons theory, and two simple examples are presented in the article.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Pietro Butti, Margarita Garcia Perez, Antonio Gonzalez-Arroyo, Ken-Ichi Ishikawa, Masanori Okawa
Summary: In this paper, the large N limit of four-dimensional Supersymmetric Yang-Mills theory is studied using twisted reduced models. Configurations with dynamical massive gluinos and various lattice 't Hooft couplings are generated, and it is confirmed that the Pfaffian remains positive. The lattice spacing is determined in terms of various observables, obtaining compatible results. Extrapolation to the massless gluino limit reveals the lattice spacing dependence on the bare couplings for the supersymmetric theory, which agrees with the expected behavior predicted by perturbation theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
M. Zubair, Muhammad Ali Raza, Furkat Sarikulov, Javlon Rayimbaev
Summary: In this study, we consider a static black hole immersed in the Power-Yang-Mills field in four-dimensional Einstein-Gauss-Bonnet gravity and investigate the effects of various parameters on the radius of the photon sphere. We use a modified form of the Newman-Janis algorithm to obtain a rotating black hole solution in this gravity. Furthermore, we explore the influence of the Yang-Mills magnetic charge Q with power q, Gauss-Bonnet parameter alpha, and spin a on the horizon radius. It is observed that all the parameters have a significant effect on the shadow and related physical observables. The constraint values for the spin, magnetic charge, and Gauss-Bonnet parameters are obtained using the shadow size of supermassive black holes from the EHT observations.
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2023)
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, Multidisciplinary
James Drummond, Jack Foster, Omer Gurdogan
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Particles & Fields
Joao Caetano, Omer Gurdogan, Vladimir Kazakov
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
Omer Can Gurdogan
Article
Physics, Particles & Fields
A. Brandhuber, Oe. Guerdogan, D. Korres, R. Mooney, G. Travaglini
JOURNAL OF HIGH ENERGY PHYSICS
(2013)
Article
Physics, Particles & Fields
James Drummond, Jack Foster, Omer Gurdogn, Georgios Papathanasiou
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
James Drummond, Jack Foster, Omer Gurdogan
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
James Drummond, Jack Foster, Omer Gurdogan, Chrysostomos Kalousios
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
James Drummond, Jack Foster, Omer Gurdogan, Chrysostomos Kalousios
Summary: In this paper, we discuss the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N = 4 super Yang-Mills theory. We argue that connections between cluster algebras and tropical geometry provide a natural language for postulating a finite alphabet for scattering amplitudes beyond six and seven points where the corresponding Grassmannian cluster algebras are finite. The tropical fans discussed in this study not only generate natural finite sets of letters, but also provide letters containing square roots, with the minimal fan considered providing all the square root letters recently discovered in an explicit two-loop eight-point NMHV calculation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
James Drummond, Jack Foster, Omer Gurdogan, Chrysostomos Kalousios
Summary: This paper describes a family of tropical fans related to Grassmannian cluster algebras, which are connected to the kinematic space of massless scattering processes in various ways. The focus is on finite Grassmannian cluster algebras, explaining how face variables for the cluster polytopes are related to the scattering equations. For Grassmannians Gr(4, n), the described tropical fans are related to the singularities of loop amplitudes in planar N = 4 super Yang-Mills theory. Each choice of tropical fan leads to a natural class of polylogarithms, and the currently known loop data fit into this classification.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lance J. Dixon, Omer Gurdogan, Andrew J. McLeod, Matthias Wilhelm
Summary: In this paper, we compute the three-point form factor of the chiral stress-tensor multiplet in planar N = 4 supersymmetric Yang-Mills theory at six, seven, and eight loops. We bootstrap the computation using boundary data from the form factor operator product expansion. By observing and employing new restrictions on pairs and triples of adjacent letters in the symbol, we obtain detailed information about the function space required to describe the form factor through eight loops. The numerical results provide strong evidence for a finite radius of convergence of perturbation theory. Our results are expected to give the highest weight part of the gg -> Hg and H -> ggg amplitudes in the heavy-top limit of QCD through eight loops. They also contribute to the recent discovery of a new antipodal duality between this form factor and a six-point amplitude in the same theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)