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This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and…

High Energy Physics - Theory · Physics 2009-10-30 Fernando Quevedo

We explore some of the global aspects of duality transformations in String Theory and Field Theory. We analyze in some detail the equivalence of dual models corresponding to different topologies at the level of the partition function and in…

High Energy Physics - Theory · Physics 2009-10-22 E. Alvarez , L. Alvarez-Gaume , J. L. F. Barbon , Y. Lozano

We gauge the non-abelian isometries of a sigma model with boundaries. Forcing the field strength of the gauge fields to vanish renders the gauged model equivalent to the ungauged one provided that boundary conditions are taken into account…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Forste , Alexandros A. Kehagias , Stefan Schwager

We study the action of non-Abelian T-duality in the context of N=1 geometries with well understood field theory duals. In the conformal case this gives rise to a new solution that contains an AdS_5 X S^2 piece. In the case of non-conformal…

High Energy Physics - Theory · Physics 2015-06-12 Georgios Itsios , Carlos Nunez , Konstadinos Sfetsos , Daniel C. Thompson

We exploit a new theory of duality transformations to construct dual representations of models incompatible with traditional duality transformations. Hence we obtain a solution to the long-standing problem of non-Abelian dualities that…

Statistical Mechanics · Physics 2015-06-05 E. Cobanera , G. Ortiz , E. Knill

In the first part of the talk we discuss T-duality for a free boson on a world sheet with boundary in a setting suitable for the generalization to non-trivial backgrounds. The gauging method as well as the canonical transformation are…

High Energy Physics - Theory · Physics 2009-10-30 Stefan Forste , Alexandros A. Kehagias , Stefan Schwager

Formulating gauge theories for gauge groups admitting a continuous center can require to include charged scalars to define a gauge-coupling function. We show that the gauge-fields in the center can be dualized into form-fields of…

High Energy Physics - Theory · Physics 2015-09-16 Thomas W. Grimm , Diego Regalado

Starting from a generalization of a recent result on self-duality we systematically analyze self-dual models. We find a criterion to judge whether a given model is self-dual or not. With this tool we construct some new self-dual pairs,…

High Energy Physics - Theory · Physics 2009-10-30 Andreas Karch

We give a wilsonian formulation of non-abelian gauge theories explicitly consistent with axial gauge Ward identitities. The issues of unitarity and dependence on the quantization direction are carefully investigated. A wilsonian computation…

High Energy Physics - Theory · Physics 2009-10-31 Michele Simionato

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and…

High Energy Physics - Phenomenology · Physics 2021-07-07 Anish Ghoshal , Anupam Mazumdar , Nobuchika Okada , Desmond Villalba

A dual action is obtained for a general non-abelian and non-supersymmetric gauge theory at the classical level. The construction follows steps similar to those used in pure abelian gauge theory. As an example we study the spontaneously…

High Energy Physics - Theory · Physics 2007-05-23 Noureddine Mohammedi

String-string duality dictates that type IIA strings compactified on a K3 surface acquire non-abelian gauge groups for certain values of the K3 moduli. We argue that, contrary to expectation, the theories for which such enhanced gauge…

High Energy Physics - Theory · Physics 2009-10-28 Paul S. Aspinwall

Lines generated by marginal deformations of WZW models are considered. The Weyl symmetry at the WZW point implies the existence of a duality symmetry on such lines. The duality is interpreted as a broken gauge symmetry in string theory. It…

High Energy Physics - Theory · Physics 2009-10-22 A. Giveon , E. Kiritsis

We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. Starting from a parent theory with two discrete and Abelian 0-form symmetries and a…

High Energy Physics - Theory · Physics 2026-05-26 Davide Bason , Wei Cui , Lorenzo Ruggeri

A particular form of non-linear $\sigma$-model, having a global gauge invariance, is studied. The detailed discussion on current algebra structures reveals the non-abelian nature of the invariance, with {\it{field dependent structure…

High Energy Physics - Theory · Physics 2009-11-11 Subir Ghosh

We review recent progress in the construction and classification of six-dimensional (1,0) superconformal models with non-abelian tensor fields. Here we solve the generalized Jacobi identities which are required for consistency of the…

High Energy Physics - Theory · Physics 2012-04-04 Henning Samtleben , Ergin Sezgin , Robert Wimmer , Linus Wulff

The dynamics of abelian vector and antisymmetric tensor gauge fields can be described in terms of twisted self-duality equations. These first-order equations relate the p-form fields to their dual forms by demanding that their respective…

High Energy Physics - Theory · Physics 2015-05-28 Henning Samtleben

It has been recently proposed to embed the standard model in a conformal gauge theory to resolve the hierarchy problem, and to avoid assuming either grand unification or low-energy supersymmetry. By model building based on string-field…

High Energy Physics - Theory · Physics 2009-10-31 Paul H. Frampton

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

We provide a general technique for collectively analysing a manifestly covariant formulation of non-abelian gauge theories on both anti de Sitter as well as de Sitter spaces. This is done by stereographically projecting the corresponding…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee , Bibhas Ranjan Majhi