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We review nonlinear gauge theory and its application to two-dimensional gravity. We construct a gauge theory based on nonlinear Lie algebras, which is an extension of the usual gauge theory based on Lie algebras. It is a new approach to…

High Energy Physics - Theory · Physics 2009-10-22 Noriaki Ikeda

Holographic dualities that relate type II strings on near-horizon Dp brane geometries to super Yang-Mills theories with sixteen supercharges in p+1 dimensions provide non-conformal generalizations of the famous AdS/CFT correspondence. For…

High Energy Physics - Theory · Physics 2025-12-15 Franz Ciceri , Henning Samtleben

We consider Yang-Mills theory with N=2 super translation group in ten auxiliary dimensions as the structure group. The gauge theory is defined on a direct product manifold \Sigma_2\times H^2, where \Sigma_2 is a two-dimensional Lorentzian…

High Energy Physics - Theory · Physics 2015-08-14 Alexander D. Popov

By generalizing our previous work on the parity symmetry, the partition function of a Yang-Mills theory is decomposed into a sum of path integrals each giving the contribution from multiplets of states with fixed quantum numbers associated…

High Energy Physics - Lattice · Physics 2011-09-28 Michele Della Morte , Leonardo Giusti

A previous study of the Kawai, Lewellen and Tye (KLT) relations between gravity and gauge theories, imposed by the relationship of closed and open strings, are here extended in the light of general relativity and Yang-Mills theory as…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J. Bjerrum-Bohr

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

We provide an explicit construction of a manifestly duality invariant, interacting deformation of Maxwell theory in four dimensions in terms of mutually local, but interacting 1- and 3-forms. Interestingly, our theory is formulated directly…

High Energy Physics - Theory · Physics 2026-01-12 Carlo Alberto Cremonini , Erik Hundeshagen , Ivo Sachs

Pure gravity and gauge theories in two dimensions are shown to be special cases of a much more general class of field theories each of which is characterized by a Poisson structure on a finite dimensional target space. A general scheme for…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. Schaller , T. Strobl

We construct super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. Gauge fields are represented by ordinary unitary link variables, and the exact…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

We perform a systematic analysis of the D-brane charges associated with string theory realizations of d=3 gauge theories, focusing on the examples of the N=4 supersymmetric U(N)xU(N+M) Yang-Mills theory and the N=3 supersymmetric…

High Energy Physics - Theory · Physics 2010-12-15 Ofer Aharony , Akikazu Hashimoto , Shinji Hirano , Peter Ouyang

In this paper we deal with algebro-geometrical problems connected with testing S-duality conjecture for super-symmetric Yang-Mills quantum field theories in four dimensions. We describe all field configurations such that beta function…

alg-geom · Mathematics 2008-02-03 Boris V. Karpov

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge invariant variables. This method reproduces the known solution of the two dimensional $SU(N)$ theory.…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein

We derive the $N=2$ and $4$ super Yang-Mills theories from the viewpoint of the $M_4\times Z_2\times Z_2$ gauge theory. Scalars and pseudoscalars appearing in the theories are regarded as gauge fields along the directions on $Z_2\times Z_2$…

High Energy Physics - Theory · Physics 2010-12-16 Bin Chen , Takesi Saito , Hong-Bo Teng , Kunihiko Uehara , Ke Wu

We construct a lattice formulation of a mass-deformed two-dimensional N=(8,8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link variables, and the exact supercharges on…

High Energy Physics - Lattice · Physics 2015-03-17 Masanori Hanada , So Matsuura , Fumihiko Sugino

We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a…

High Energy Physics - Theory · Physics 2025-12-04 Tomas Brauner , Yang Li , Diederik Roest , Tianzhi Wang

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

In this work, we study the implications of the existence of a gauge condensate to the mechanism of duality, a method based on the existence of these condensates is presented and applied to the study of the dual equivalence between self-dual…

High Energy Physics - Theory · Physics 2007-05-23 M. A. L. Capri , V. E. R. Lemes

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

High Energy Physics - Theory · Physics 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

We consider maximally supersymmetric SU(N) Yang--Mills theory in Euclidean signature compactified on a flat two-dimensional torus with anti-periodic (`thermal') fermion boundary conditions imposed on one cycle. At large N, holography…

High Energy Physics - Theory · Physics 2018-05-01 Simon Catterall , Raghav G. Jha , David Schaich , Toby Wiseman