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We analyze in detail the possible breaking of spacetime supersymmetry under T-duality transformations. We find that when appropiate world-sheet effects are taken into account apparent puzzles concerning supersymmetry in spacetime are…

High Energy Physics - Theory · Physics 2009-10-28 E. Alvarez , L. Alvarez-Gaume , I. Bakas

We propose a description of T-duality between general geometric and non-geometric backgrounds as higher groupoid bundles with connections. Our description extends the previous observation by Nikolaus and Waldorf that the topological aspects…

High Energy Physics - Theory · Physics 2026-05-29 Hyungrok Kim , Christian Saemann

We describe how generalized complex geometry, which interpolates between complex and symplectic geometry, is compatible with T-duality, a relation between quantum field theories discovered by physicists. T-duality relates topologically…

Differential Geometry · Mathematics 2023-05-26 Gil R. Cavalcanti , Marco Gualtieri

We initiate the study of the interplay between T-duality and classical stress tensor deformations in two-dimensional sigma models. We first show that a general Abelian T-duality commutes with the $T \overline{T}$ deformation, which can be…

High Energy Physics - Theory · Physics 2024-08-14 Daniele Bielli , Christian Ferko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We clarify the role of the dual coordinates as described from the perspectives of the Buscher T-duality rules and Double Field Theory. We show that the T-duality angular dual coordinates cannot be identified with Double Field Theory dual…

High Energy Physics - Theory · Physics 2017-05-24 P. S. Howe , G. Papadopoulos

We obtain the T-duality transformations of space-time spinors (the supersymmetry transformation parameters, gravitinos and dilatinos) of type-II theories in curved backgrounds with an isometry. The transformation of the spinor index is…

High Energy Physics - Theory · Physics 2010-04-06 S. F. Hassan

We reconsider some older constructions of T-duality, based on automorphisms of the worldsheet operator algebra, in a modern context. It has been long known that at special points in the moduli space of torus compactifications, the target…

High Energy Physics - Theory · Physics 2021-05-19 Hasan Mahmood , R. A. Reid-Edwards

We develop a theory of T-duality for transitive Courant algebroids. We show that T-duality between transitive Courant algebroids E\rightarrow M and \tilde{E}\rightarrow \tilde{M} induces a map between the spaces of sections of the…

Differential Geometry · Mathematics 2021-11-24 Vicente Cortés , Liana David

Topological T-duality is a relationship between pairs (E, P ) over a fixed space X, where E over X is a principal torus bundle and P over E is a twist, such as a gerbe of principal PU(H)-bundle. This is of interest to topologists because of…

K-Theory and Homology · Mathematics 2024-07-25 Tom Dove , Thomas Schick

T-duality of gauge theories on a noncommutative $T^d$ can be extended to include fields with twisted boundary conditions. The resulting T-dual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude.…

High Energy Physics - Theory · Physics 2014-11-18 Aaron Bergman , Ori J. Ganor

The T-duality transformations between open and closed superstrings in different D-manifolds are generalized to curved backgrounds with commuting isometries. We address some global aspects like the occurrence of orientifold boundaries in…

High Energy Physics - Theory · Physics 2009-10-30 E. Alvarez , J. L. F. Barbon , J. Borlaf

We review double field theory (DFT) with emphasis on the doubled spacetime and its generalized coordinate transformations, which unify diffeomorphisms and b-field gauge transformations. We illustrate how the composition of generalized…

High Energy Physics - Theory · Physics 2015-06-17 Olaf Hohm , Dieter Lust , Barton Zwiebach

String-theoretic T-duality can be exploited to simplify some features of the bulk-boundary correspondence in condensed matter theory. This paper surveys how T-duality links position and momentum space pictures of that correspondence.

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Keith C. Hannabuss

Cosmological perturbation equations derived from low-energy effective actions are shown to be invariant under a duality transformation reminiscent of electric-magnetic, strong-weak coupling, S-duality. A manifestly duality-invariant…

High Energy Physics - Theory · Physics 2009-10-31 R. Brustein , M. Gasperini , G. Veneziano

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

We find the explicit T-duality transformation in the phase space formulation of the N=(1,1) sigma model. We also show that the T-duality transformation is a symplectomorphism and it is an element of O(d,d). Further, we find the explicit…

High Energy Physics - Theory · Physics 2010-10-27 Jonas Persson

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

String compactifications with T-duality twists are revisited and the gauge algebra of the dimensionally reduced theories calculated. These reductions can be viewed as string theory on T-fold backgrounds, and can be formulated in a `doubled…

High Energy Physics - Theory · Physics 2009-12-15 C. M. Hull , R. A. Reid-Edwards

The primary focus of this thesis is to investigate the mathematical and physical properties of spaces that are related by T-duality and its generalisations. In string theory, T-duality is a relationship between two a priori different string…

High Energy Physics - Theory · Physics 2019-04-30 Mark Bugden

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields of the theory so as to be symmetries of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Marc Henneaux , Claudio Teitelboim