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Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

General Physics · Physics 2012-06-19 S. C. Tiwari

Two different massive gauge invariant spin-one theories in $3+1$ dimensions, one Stuckelberg formulation and the other `$B^{\wedge}F$' theory, with Kalb-Ramond field are shown to be related by duality. This is demonstrated by gauging the…

High Energy Physics - Theory · Physics 2009-10-30 E. Harikumar , M. Sivakumar

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

High Energy Physics - Theory · Physics 2008-11-26 C M Hull

A study of sigma models whose target space is a group G that admits a compatible Poisson structure is presented. The natural action of O(D,D;Z) on the generalised tangent bundle TG+T*G and a generalisation of the Courant bracket that…

High Energy Physics - Theory · Physics 2010-01-15 R. A. Reid-Edwards

We present the most general actions of a single scalar field and two scalar fields coupled to gravity, consistent with second order field equations in four dimensions, possessing local scale invariance. We apply two different methods to…

High Energy Physics - Theory · Physics 2014-03-13 Antonio Padilla , David Stefanyszyn , Minas Tsoukalas

We construct a general Lagrangian, quadratic in the field strengths of $n$ abelian gauge fields, which interpolates between BI actions of n abelian vectors and actions, quadratic in the vector field-strengths, describing Maxwell fields…

High Energy Physics - Theory · Physics 2015-06-23 Laura Andrianopoli , Riccardo D'Auria , Mario Trigiante

Finite gauge transformations in double field theory can be defined by the exponential of generalized Lie derivatives. We interpret these transformations as `generalized coordinate transformations' in the doubled space by proposing and…

High Energy Physics - Theory · Physics 2015-06-05 Olaf Hohm , Barton Zwiebach

Given the Hamiltonian realisation of a topological (3+1)d gauge theory with finite group $G$, we consider a family of tensor network representations of its ground state subspace. This family is indexed by gapped boundary conditions encoded…

Strongly Correlated Electrons · Physics 2022-09-07 Clement Delcamp

Despite being highly over-parametrized, and having the ability to fully interpolate the training data, deep networks are known to generalize well to unseen data. It is now understood that part of the reason for this is that the training…

Machine Learning · Computer Science 2023-02-21 Danil Akhtiamov , Babak Hassibi

Double field theory yields a formulation of the low-energy effective action of bosonic string theory and half-maximal supergravities that is covariant under the T-duality group O$(d,d)$ emerging on a torus $T^d$. Upon reduction to three…

High Energy Physics - Theory · Physics 2017-10-18 Olaf Hohm , Edvard T. Musaev , Henning Samtleben

We study supersymmetric gauge theories in five dimensions, using their relation to the K-theory of the moduli spaces of torsion free sheaves. In the spirit of the BPS/CFT correspondence the partition function and the expectation values of…

Representation Theory · Mathematics 2013-08-13 Erik Carlsson , Nikita Nekrasov , Andrei Okounkov

We construct a new class of two-dimensional field theories with target spaces that are finite multiparameter deformations of the usual coset G/H-spaces. They arise naturally, when certain models, related by Poisson-Lie T-duality, develop a…

High Energy Physics - Theory · Physics 2009-10-31 Konstadinos Sfetsos

Supersymmetric bosonic backgrounds governed by first-order BPS equations, can be realised in a much broader setting by relaxing the requirement of closure of the superalgebra beyond the level of quadratic fermion terms. The resulting…

High Energy Physics - Theory · Physics 2021-07-21 Falk Hassler , C. N. Pope , Hao-Yu Zhang

We propose a non-perturbative description of the moduli spaces encoding p-form generalized Maxwell theories in any dimension, using derived differential geometry. Our approach synthesizes the Batalin--Vilkovisky formalism with differential…

Mathematical Physics · Physics 2026-03-20 Chris Elliott , Owen Gwilliam , Ingmar Saberi , Brian R. Williams

It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Arias , A. Restuccia

A method for implementing non-Abelian duality on string backgrounds is given. It is shown that a direct generalisation of the familiar Abelian duality induces an extra local symmetry in the gauge invariant theory. The non-Abelian isometry…

High Energy Physics - Theory · Physics 2009-10-28 Noureddine Mohammedi

By generalizing the Hodge dual operator to the case of soldered bundles, and working in the context of the teleparallel equivalent of general relativity, an analysis of the duality symmetry in gravitation is performed. Although the basic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. C. de Andrade , A. L. Barbosa , J. G. Pereira

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any…

High Energy Physics - Theory · Physics 2018-07-13 Nicolas Boulanger , Andrea Campoleoni , Ignacio Cortese

In the present talk we present an investigation of nonabelian SU(N) gauge theories, describing a system of fields with non--dual g and dual \tilde g charges and revealing the generalized dual symmetry. The Zwanziger type action is…

High Energy Physics - Phenomenology · Physics 2016-12-07 C. R. Das , L. V. Laperashvili , H. B. Nielsen

We propose a universal manipulation to obtain Seiberg-like dualities of 3d $\mathcal{N}=2$ general quiver gauge theories with unitary, symplectic and orthogonal gauge groups coupled to fundamental and bifundamental matter fields. We…

High Energy Physics - Theory · Physics 2022-04-28 Tadashi Okazaki , Douglas J. Smith