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We use non-Abelian T-duality to construct new N=1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS_5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG…

High Energy Physics - Theory · Physics 2016-01-27 Niall T. Macpherson , Carlos Nunez , Daniel C. Thompson , S. Zacarias

We study certain new models of supersymmetric quantum mechanics. The explicit form of the corresponding superfield and component actions, as well as of the quantum Hamiltonians and supercharges is given. It is shown that the Hamiltonian…

High Energy Physics - Theory · Physics 2012-04-06 Maxim Konyushikhin

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

We construct the theory of non-abelian gauge antisymmetric tensor fields, which generalize the standard Yang-MIlls fields and abelian gauge p-forms. The corresponding gauge group acts on the space of inhomogeneous differential forms and it…

High Energy Physics - Theory · Physics 2008-11-26 S. N. Solodukhin

In this paper we explore basic aspects of nonabelian (0,2) GLSM's in two dimensions for unitary gauge groups, an arena that until recently has largely been unexplored. We begin by discussing general aspects of (0,2) theories, including…

High Energy Physics - Theory · Physics 2014-09-12 B. Jia , E. Sharpe , R. Wu

In string theory it is known that abelian isometries in the sigma model lead to target space duality. We generalize this duality to backgrounds with non--abelian isometries. The procedure we follow consists of gauging the isometries of the…

High Energy Physics - Theory · Physics 2009-10-22 Xenia C. de la Ossa , Fernando Quevedo

Singular fiber resolution does not describe the spontaneous breaking of gauge symmetry in F-theory, as the corresponding branch of the moduli space does not exist in the theory. Accordingly, even non-abelian gauge theories have not been…

High Energy Physics - Theory · Physics 2015-06-18 Antonella Grassi , James Halverson , Julius L. Shaneson

The functional-integral quantization of non-Abelian gauge theories is affected by the Gribov problem at non-perturbative level: the requirement of preserving the supplementary conditions under gauge transformations leads to a non-linear…

High Energy Physics - Theory · Physics 2015-06-26 Giampiero Esposito , Diego N. Pelliccia , Francesco Zaccaria

We study non-Abelian fields in the context of very special relativity (VSR). For this we define the covariant derivative and the gauge field gauge transformations, both of them involving a fixed null vector $n_{\mu}$, related to the VSR…

High Energy Physics - Theory · Physics 2013-11-14 Jorge Alfaro , Victor O. Rivelles

In this article we realize T-duality as a geometric transform of bundles of abelian group stacks. The transform applies in the algebro-geometric setting as well as the topological setting, and thus makes precise the link between the models…

High Energy Physics - Theory · Physics 2013-10-14 Calder Daenzer

We consider arbitrary embeddings of surface operators in a pure, non-supersymmetric abelian gauge theory on spin (non-spin) four-manifolds. For any surface operator with a priori simultaneously non-vanishing parameters, we explicitly show…

High Energy Physics - Theory · Physics 2014-11-18 Meng-Chwan Tan

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 elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra $\tilde{\mathfrak{g}}$ of the…

High Energy Physics - Theory · Physics 2018-03-23 Riccardo Borsato , Linus Wulff

We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying…

High Energy Physics - Theory · Physics 2020-04-10 Christian Saemann , Lennart Schmidt

We study various aspects of N=(2,2) supersymmetric non-Abelian gauge theories in two dimensions, with applications to string vacua. We compute the Witten index of SU(k) SQCD with N>0 flavors with twisted masses; the result is presented as…

High Energy Physics - Theory · Physics 2010-10-27 Kentaro Hori , David Tong

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for any p-tensor boson in any dimension. Within the Hamiltonian formulation, the embedded topological field theory (TFT) is not made…

High Energy Physics - Theory · Physics 2007-05-25 Bruno Bertrand

Reconsideration of the T-duality of the open string allows us to introduce some geometric features in non-geometric theories. First, we have found what symmetry is T-dual to the local gauge transformations. It includes transformations of…

High Energy Physics - Theory · Physics 2018-09-14 Branislav Sazdovic

Given a two-dimensional quantum lattice model with an abelian gauge theory interpretation, we investigate a duality operation that amounts to gauging its invertible 1-form symmetry, followed by gauging the resulting 0-form symmetry in a…

Strongly Correlated Electrons · Physics 2025-08-28 Bram Vancraeynest-De Cuiper , Clement Delcamp

We consider WZW models based on the non-semi-simple algebras that they were recently constructed as contractions of corresponding algebras for semi-simple groups. We give the explicit expression for the action of these models, as well as…

High Energy Physics - Theory · Physics 2009-10-28 Konstadinos Sfetsos

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Chris Hull