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A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

The heterotic string compactified on a six-torus is described by a low-energy effective action consisting of N=4 supergravity coupled to N=4 super Yang-Mills, a theory that was studied in detail many years ago. By explicitly carrying out…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

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

We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the…

High Energy Physics - Theory · Physics 2009-10-07 L. Ibanez , D. Luest

We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as…

High Energy Physics - Theory · Physics 2011-04-15 Y. Lozano

Using generalised geometry we study the action of U-duality acting in three and four dimensions on the bosonic fields of eleven dimensional supergravity. We compare the U-duality symmetry with the T-duality symmetry of double field theory…

High Energy Physics - Theory · Physics 2017-10-03 Emanuel Malek

In this short paper we look at the action of T-duality and string duality groups on fermions, in maximally-supersymmetric theories and related theories. Briefly, we argue that typical duality groups such as SL(2,Z) have sign ambiguities in…

High Energy Physics - Theory · Physics 2016-12-07 T. Pantev , E. Sharpe

T-dualities of the non-supersymmetric string models, which are constructed by twisted compactifications, are investigated. We show that the T-duality groups of such models are obtained by imposing congruence conditions on $O\left(…

High Energy Physics - Theory · Physics 2022-02-09 H. Itoyama , Yuichi Koga , Sota Nakajima

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

We examine T-duality transformations for supersymmetric strings with target space geometry with compact abelian isometries. We consider the partition function of these models and we show that although T-duality is not a symmetry, due to an…

High Energy Physics - Theory · Physics 2009-10-30 Alexandros Kehagias

In this article we give a calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on…

High Energy Physics - Theory · Physics 2009-10-30 Nemanja Kaloper , Krzysztof Meissner

We explore dualities and solution-generating transformations in various contexts. Our focus is on the T-duality invariant form of supergravity known as double field theory, the $SL(5)$-invariant M-theory extended geometry, and metrics dual…

High Energy Physics - Theory · Physics 2015-11-04 Joel Berkeley

T-Duality is a poorly understood symmetry of the space-time fields of string theory that interchanges long and short distances. It is best understood in the context of toroidal compactification where, loosely speaking, radii of the torus…

High Energy Physics - Theory · Physics 2008-11-26 Mark Evans , Ioannis Giannakis

String theory appears to admit a group of discrete field transformations -- called $S$ dualities -- as exact non-perturbative quantum symmetries. Mathematically, they are rather analogous to the better-known $T$ duality symmetries, which…

High Energy Physics - Theory · Physics 2011-04-15 John H. Schwarz

Superstring theories at low energy limit are described by the corresponding supergravities, and their non-perturbative D-brane/O-plane excitations are described by DBI and WZ actions. Higher derivative corrections to these effective actions…

High Energy Physics - Theory · Physics 2017-10-11 Mohammad R. Garousi

Using a recently developed formulation of double field theory in superspace, the graviton, $B$-field, gravitini, dilatini, and Ramond-Ramond bispinor are encoded in a single generalized supervielbein. Duality transformations are encoded as…

High Energy Physics - Theory · Physics 2024-09-23 Daniel Butter , Falk Hassler , Christopher N. Pope , Haoyu Zhang

The 1--loop string background equations with axion and dilaton fields are shown to be integrable in four dimensions in the presence of two commuting Killing symmetries and $\delta c = 0$. Then, in analogy with reduced gravity, there is an…

High Energy Physics - Theory · Physics 2009-10-28 I. Bakas

In the author's paper (Phys.Rev. D80, 041901(R) (2009)), the integrable structure of the symmetry reduced bosonic dynamics in the low energy heterotic string effective theory was presented. In that paper, for a complete system of massless…

High Energy Physics - Theory · Physics 2010-11-22 George A. Alekseev

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

Non-Abelian T-duality (NATD) is a solution generating transformation for supergravity backgrounds with non-Abelian isometries. We show that NATD can be described as a coordinate dependent O(d,d) transformation, where the dependence on the…

High Energy Physics - Theory · Physics 2019-10-02 Aybike Catal-Ozer