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Basis tensor gauge theory is a vierbein analog reformulation of ordinary gauge theories in which the difference of local field degrees of freedom has the interpretation of an object similar to a Wilson line. Here we present a non-Abelian…

High Energy Physics - Theory · Physics 2019-10-23 Edward E. Basso , Daniel J. H. Chung

In this article I describe the recently-conjectured field-string duality which suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of 1/N and some of which may be conformal for finite N. If the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul H. Frampton

In this paper a class of conformal field theories with nonabelian and discrete group of symmetry is investigated. These theories are realized in terms of free scalar fields starting from the simple $b-c$ systems and scalar fields on…

High Energy Physics - Theory · Physics 2009-10-22 Franco Ferrari

A new method for obtaining dual string theory backgrounds is presented. Preservation of the Hamiltonian density and the energy momentum tensor induced by O(d,d)-transformations leads to a relation between dual sets of coordinate one-forms…

High Energy Physics - Theory · Physics 2015-06-19 Felix Rennecke

We propose gauge theory/gravity duality involving conformal theories based on U(N+k|k) gauge groups. We show that to all orders in 1/N these non-unitary theories based on supergroups are indistinguishable from the corresponding unitary…

High Energy Physics - Theory · Physics 2014-09-11 Cumrun Vafa

Non-Abelian strings for an Einstein-Yang-Mills-Higgs theory are explicitly constructed. We consider N_f Higgs fields in the fundamental representation of the U(1)xSU(N_c) gauge group in order to have a color-flavor SU(N_c) group remaining…

High Energy Physics - Theory · Physics 2010-05-27 L. G. Aldrovandi

The action for self-dual gauge fields that emerges from the recently constructed superstring field theory is found. The new superstring field theory reduces to that of Sen in a certain limit, and in this limit the new action for self-dual…

High Energy Physics - Theory · Physics 2026-02-27 Chris Hull

This paper considers non-Abelian homology groups of a group diagram introduced as homotopy groups of a simplicial change. We prove a theorem stating that the non-Abelian homology groups of a group diagram are isomorphic to the homotopy…

Algebraic Topology · Mathematics 2026-05-11 Ahmet A. Husainov

A class of non-linear sigma models possessing a new symmetry is identified. The same symmetry is also present in Chern-Simons theories. This hints at a possible topological origin for this class of sigma models. The non-linear sigma models…

High Energy Physics - Theory · Physics 2009-10-30 Noureddine Mohammedi

We show equivalence between the massive Thirring model and the sine-Gordon theory by gauge fixing a wider gauge invariant theory in two different ways. The exact derivation of the equivalence hinges on the existence of an underlying…

High Energy Physics - Theory · Physics 2007-05-23 Aleksandar Bogojevic , Branislav Sazdovic , Olivera Miskovic

The proposed coordinate/field duality [Phys. Rev. Lett. 78 (1997) 163] is applied to the gauge and matter sectors of gauge theories. In the non-Abelian case, due to indices originated from the internal space, the dual coordinates appear to…

General Physics · Physics 2016-01-27 Amir H. Fatollahi

Stochastic quantization is applied to derivation of equations connecting multilocal gauge-invariant correlators in different field theories. They include Abelian Higgs Model, QCD with spinless quarks at T=0 and T>0 and QED, where spin…

High Energy Physics - Theory · Physics 2015-06-26 D. V. Antonov

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

High Energy Physics - Theory · Physics 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

We consider various homotopy algebras related to Yang-Mills theory and two-dimensional conformal field theory (CFT). Our main objects of study are Yang-Mills $L_{\infty}$ and $C_{\infty}$ algebras and their relation to the certain algebraic…

High Energy Physics - Theory · Physics 2011-06-02 Anton M. Zeitlin

We discuss how Moyal deformations of gauge theories, which arise naturally from open string theory, fit into the paradigm of colour-kinematics duality and the double copy of gauge theory to gravity. Along the way we encounter novel…

High Energy Physics - Theory · Physics 2024-01-30 Richard J. Szabo

A non-Abelian theory of fermions interacting with gauge bosons, the constrained system, is studied. The equations of motion for a singular system are obtained as total differential equations in many variables. The integrability conditions…

General Physics · Physics 2023-08-30 Walaa I. Eshraim

We present a brief introduction to the construction of gauge theories on noncommutative spaces with star products. Particular emphasis is given to issues related to non-Abelian gauge groups and charge quantization. This talk is based on…

High Energy Physics - Theory · Physics 2007-05-23 Peter Schupp

We consider the topological theory of Witten type for gauge differential p-forms. It is shown that some topological invariants such as linking numbers appear under quantization of this theory. The non-abelian generalization of the model is…

High Energy Physics - Theory · Physics 2015-06-26 S. N. Solodukhin

In this article we review the conditions for the validity of the gauge/gravity correspondence in both supersymmetric and non-supersymmetric string models. We start by reminding what happens in type IIB theory on the orbifolds C^2/Z_2 and…

High Energy Physics - Theory · Physics 2011-07-19 Paolo Di Vecchia , Antonella Liccardo , Raffaele Marotta , Franco Pezzella

We show that various actions of topological conformal theories that were suggested recentely are particular cases of a general action. We prove the invariance of these models under transformations generated by nilpotent fermionic generators…

High Energy Physics - Theory · Physics 2007-05-23 J. Sonnenschein , S. Yankielowicz