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We present a flux formulation of Double Field Theory, in which geometric and non-geometric fluxes are dynamical and field-dependent. Gauge consistency imposes a set of quadratic constraints on the dynamical fluxes, which can be solved by…

High Energy Physics - Theory · Physics 2015-06-15 David Geissbuhler , Diego Marques , Carmen Nunez , Victor Penas

We examine various properties of double field theory and the doubled string sigma model in the context of geometric quantisation. In particular we look at T-duality as the symplectic transformation related to an alternative choice of…

High Energy Physics - Theory · Physics 2021-06-30 Luigi Alfonsi , David S. Berman

We examine how generalised geometries can be associated with a labelled Dynkin diagram built around a gravity line. We present a series of new generalised geometries based on the groups $\mathit{Spin}(d,d)\times\mathbb{R}^+$ for which the…

High Energy Physics - Theory · Physics 2017-11-15 Charles Strickland-Constable

Gauge symmetry enhancing, at specific points of the compactification space, is a distinguished feature of string theory. In this work we discuss the breaking of such symmetries with tools provided by Double Field Theory (DFT). As a main…

High Energy Physics - Theory · Physics 2017-08-02 G. Aldazabal , E. Andres , Martin Mayo , J. A. Rosabal

A number of issues in heterotic double field theory are studied. This includes the analysis of the T-dual configurations of a flat constant gauge flux background, which turn out to be non-geometric. Performing a field redefinition to a…

High Energy Physics - Theory · Physics 2023-02-03 Ralph Blumenhagen , Rui Sun

We reconsider gauge-transformation properties in chiral gauge theories on the lattice observing all pertinent information and show that these properties are actually determined in a general way for any gauge group and for any value of the…

High Energy Physics - Lattice · Physics 2007-05-23 Werner Kerler

We present a BRST symmetric gaugeon formalism for the two-form gauge fields. A set of vector gaugeon fields is introduced as a quantum gauge freedom. One of the gaugeon fields satisfies a higher derivative field equation; this property is…

High Energy Physics - Theory · Physics 2019-12-06 Masataka Aochi , Ryusuke Endo , Hikaru Miura

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

Fractonic matter with dipole symmetry can be coupled to a two-index symmetric tensor gauge field. In this work, we show that this symmetric tensor field, along with other related generalized Maxwell theories, can be consistently coupled to…

High Energy Physics - Theory · Physics 2025-03-13 Evangelos Afxonidis , Alessio Caddeo , Carlos Hoyos , Daniele Musso

The geometrical picture of gauge theories must be enlarged when a gauge potential ceases to behave like a connection, as it does in electroweak interactions. When the gauge group has dimension four, the vector space isomorphism between…

Mathematical Physics · Physics 2007-05-23 R. Aldrovandi , A. L. Barbosa

Using a mathematical framework which provides a generalization of the de Rham complex (well-designed for p-form gauge fields), we study the gauge structure and duality properties of theories for free gauge fields transforming in arbitrary…

High Energy Physics - Theory · Physics 2009-11-07 Xavier Bekaert , Nicolas Boulanger

We show how the theory of $\mathbb{Z}_2^n$ -manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such…

Mathematical Physics · Physics 2019-06-26 Andrew James Bruce , Eduardo Ibarguengoytia

Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail,…

Differential Geometry · Mathematics 2018-05-24 Kyle Wright

We shall review a novel formulation of four dimensional gauged supergravity which is manifestly covariant with respect to the non-perturbative electric-magnetic duality symmetry transformations of the ungauged theory, at the level of the…

High Energy Physics - Theory · Physics 2007-05-23 Mario Trigiante

The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9, covering most versions in the literature. We showed which…

Algebraic Geometry · Mathematics 2013-06-11 Roxana Bujack , Gerik Scheuermann , Eckhard Hitzer

A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The…

High Energy Physics - Theory · Physics 2017-10-25 Gerardo Aldazabal , Eduardo Andres , Martin Mayo , Victor Penas

A simple mechanical system, the three-dimensional isotropic rigid rotator, is here investigated as a 0+1 field theory, aiming at further investigating the relation between Generalized/Double Geometry on the one hand and Doubled World-Sheet…

High Energy Physics - Theory · Physics 2018-09-26 Vincenzo Emilio Marotta , Franco Pezzella , Patrizia Vitale

We discuss various topics in supergravity: gaugings, double field theory and $N=2$ $D=4$ BPS multicenter black holes. We introduce the main features of supergravity, focusing on the aspects of gauged supergravities. We study the…

High Energy Physics - Theory · Physics 2013-12-02 Jose Juan Fernandez-Melgarejo

We present general formulae for the TsT transformation (T-duality, shift, T-duality) of type II string backgrounds and open string boundary conditions. The TsT transformation provides a systematic procedure to find string theory duals of…

High Energy Physics - Theory · Physics 2009-12-07 Emiliano Imeroni

A discrete field formalism exposes the physical meaning and origins of gauge fields, their symmetries and singularities. They represent a lack of a stricter field-source coherence.

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza