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A class of new nonabelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional Yang-Mills theory featuring a novel nonlinear gauge symmetry and field equations for…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco

We construct actions for four dimensional noncommutative Yang-Mills theory with star-gauge symmetry, with non-constant noncommutativity, to all orders in the noncommutativity. Our construction covers all noncommutative spaces corresponding…

High Energy Physics - Theory · Physics 2023-05-26 Tim Meier , Stijn J. van Tongeren

We study a consistent deformation of the cubic open bosonic string theory in such a way that the non-planar world sheet diagrams of the perturbative string theory are mapped onto their equivalent planar diagrams of the light-cone string…

High Energy Physics - Theory · Physics 2017-03-21 Taejin Lee

Matrix string theory (arXiv:hep-th/9703030, arXiv:hep-th/9701025, arXiv:hep-th/9710009) is a conjectured duality between two-dimensional maximally supersymmetric $U(N)$ Yang-Mills theory and type-IIA string theory in ten-dimensional…

High Energy Physics - Theory · Physics 2026-05-27 Kabir Bajaj

We consider the 1+1 dimensional supersymmetric matrix field theory obtained from a dimensional reduction of ten dimensional ${\cal N} = 1$ super Yang-Mills, which is a matrix model candidate for non-perturbative Type IIA string theory. The…

High Energy Physics - Theory · Physics 2007-05-23 F. Antonuccio , H. C. Pauli , S. Tsujimaru

A Yang-Mills theory in a purely symplectic framework is developed. The corresponding Euler-Lagrange equations are derived and first integrals are given. We relate the results to the work of Bourgeois and Cahen on preferred symplectic…

Symplectic Geometry · Mathematics 2007-05-23 Katharina Habermann , Lutz Habermann , Paul Rosenthal

For correlators in $\mathcal{N}=4$ Super Yang-Mills preserving half the supersymmetry, we manifestly recast the gauge theory Feynman diagram expansion as a sum over dual closed strings. Each individual Feynman diagram maps on to a Riemann…

High Energy Physics - Theory · Physics 2024-12-19 Rajesh Gopakumar , Rishabh Kaushik , Shota Komatsu , Edward A. Mazenc , Debmalya Sarkar

Two dimensional SU(N) Yang-Mills theory is known to be equivalent to a string theory, as found by Gross in the large N limit, using the 1/N expansion. Later it was found that even a generalized YM theory leads to a string theory of the…

High Energy Physics - Theory · Physics 2009-11-07 Florian Dubath , Simone Lelli , Anna Rissone

It was recently argued by Nguyen-Tanizaki-Unsal that two-dimensional pure Yang-Mills theory is equivalent to (decomposes into) a disjoint union of (invertible) quantum field theories, known as universes. In this paper we compare this…

High Energy Physics - Theory · Physics 2023-12-29 T. Pantev , E. Sharpe

In recent work a multimonopole solution of heterotic string theory was obtained. The monopoles are noted to be stable, in contrast with analogous solutions of Einstein-Maxwell or Yang-Mills-dilaton theory. The existence of this and other…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

We generalize the Gervais-Neveu gauge to four-dimensional N=1 superspace. The model describes an N=2 super Yang-Mills theory. All chiral superfields (N=2 matter and ghost multiplets) exactly cancel to all loops. The remaining hermitian…

High Energy Physics - Theory · Physics 2013-09-26 W. Siegel

We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\mathbb{T}^2\times \mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a…

High Energy Physics - Phenomenology · Physics 2023-05-16 Daiki Suenaga , Masakiyo Kitazawa

We study the black hole - black string phase transitions of gravitational theories compactified on a circle using the holographic duality conjecture. The gauge theory duals of these theories are maximally supersymmetric and strongly coupled…

High Energy Physics - Theory · Physics 2010-09-16 Simon Catterall , Anosh Joseph , Toby Wiseman

A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang-Mills continuum theories with gauge groups $SU(N)$ and $U(1)$ and space-time topologies $\Rl^1\times\Rl^1$ and $\Rl^1\times S^1$. (For the $U(1)$ theory,…

High Energy Physics - Theory · Physics 2009-10-30 Abhay Ashtekar , Jurek Lewandowski , Donald Marolf , José Mourão , Thomas Thiemann

We describe the magnetic phase of SU(N) $\mathcal{N}=2$ Super Yang-Mills theories in the self-dual Omega background in terms of a new class of multi-cut matrix models. These arise from a non-perturbative completion of topological strings in…

High Energy Physics - Theory · Physics 2017-06-08 Giulio Bonelli , Alba Grassi , Alessandro Tanzini

We explore gauge fields - strings duality by means of the loop equations and the zigzag symmetry. The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [A.M. Polyakov, hep-th/9711002]…

High Energy Physics - Theory · Physics 2009-10-31 A. Polyakov , V. Rychkov

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

I present a brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory. It is emphasized how the application of…

High Energy Physics - Theory · Physics 2007-05-23 Jose M. F. Labastida

${\cal N}=4$ Super Yang-Mills theory is a highly constrained theory, and therefore a valuable tool to test the understanding of less constrained Yang-Mills theories. Our aim is to use it to test our understanding of both the Landau gauge…

High Energy Physics - Phenomenology · Physics 2016-03-09 Axel Maas , Stefan Zitz

The theta dependence of the vacuum energy in large N Yang-Mills theory has been studied some time ago by Witten using a duality of large N gauge theories with string theory compactified on a certain space-time. We show that within the field…

High Energy Physics - Theory · Physics 2014-11-18 Gregory Gabadadze