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A geometric string solution has background fields in overlapping coordinate patches related by diffeomorphisms and gauge transformations, while for a non-geometric background this is generalised to allow transition functions involving…

High Energy Physics - Theory · Physics 2009-11-10 C M Hull

This review provides an introduction to non-geometric backgrounds in string theory. Starting from a discussion of T-duality, geometric and non-geometric torus-fibrations are reviewed, generalised geometry and its relation to non-geometric…

High Energy Physics - Theory · Physics 2019-04-17 Erik Plauschinn

String backgrounds with a local torus fibration such as T-folds are naturally formulated in a doubled formalism in which the torus fibres are doubled to include dual coordinates conjugate to winding number. Here we formulate and explore a…

High Energy Physics - Theory · Physics 2015-05-13 C. M. Hull , R. A. Reid-Edwards

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with…

High Energy Physics - Theory · Physics 2010-02-03 Atish Dabholkar , Chris Hull

We provide some evidence that closed string coordinates will become non-commutative turning on H-field flux background in closed string compactifications. This is in analogy to open string non-commutativity on the world volume of D-branes…

High Energy Physics - Theory · Physics 2011-02-25 Dieter Lust

We use a T-duality invariant action to investigate the behaviour of a string in non-geometric backgrounds, where there is a non-trivial global $O(D,D)$ patching or monodromy. This action leads to a set of Dirac brackets describing the…

High Energy Physics - Theory · Physics 2015-06-30 Chris D. A. Blair

In this paper we discuss the construction of non-geometric Q- and R-branes as sources of non-geometric Q- and R-fluxes in string compactifications. The non-geometric Q-branes, being obtained via T-duality from the NS 5-brane or respectively…

High Energy Physics - Theory · Physics 2013-06-27 Falk Hassler , Dieter Lust

An interesting consequence of string dualities is that they reveal situations where the geometry of a string background appears to be globally ill-defined, a phenomenon usually referred to as non-geometry. On the other hand, string theory…

High Energy Physics - Theory · Physics 2014-08-10 Athanasios Chatzistavrakidis , Fridrik Freyr Gautason , George Moutsopoulos , Marco Zagermann

A geometrical approach in the non-symmetric connection framework is employed to examine the issue of higher order $\alpha'$ corrections to D=10 type IIB superstring backgrounds with a covariantly constant null Killing isometry and non-zero…

High Energy Physics - Theory · Physics 2016-08-24 Gautam Sengupta

We explore the notion of isometries in non-Riemannian geometries. Such geometries include and generalise the backgrounds of non-relativistic string theory, and they can be naturally described using the formalism of double field theory.…

High Energy Physics - Theory · Physics 2021-06-08 Chris D. A. Blair , Gerben Oling , Jeong-Hyuck Park

We determine generalized symmetries for 4D theories engineered via type II strings on non-supersymmetric orbifold backgrounds $\mathbb{R}^{3,1} \times \mathbb{R}^6 / \Gamma$. Probe branes detect generalized symmetries via the adjacency…

High Energy Physics - Theory · Physics 2025-02-17 Noah Braeger , Vivek Chakrabhavi , Jonathan J. Heckman , Max Hübner

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

In this dissertation we study hidden symmetries within the framework of string theory. There are two kinds of hidden symmetries investigated in this work: the first type is associated with dynamics of quantum fields and the second type is…

High Energy Physics - Theory · Physics 2017-11-28 Yuri Chervonyi

In this dissertation, we study the generalized symmetries in supergravities and superconformal field theories from the string theory perspective. Part one is devoted to the study of string universality in high spacetime dimensions.…

High Energy Physics - Theory · Physics 2023-06-14 Hao Y. Zhang

In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding…

High Energy Physics - Theory · Physics 2012-05-28 Dieter Lust

We show that twisted doubled tori can be used to construct a general class of worldsheet models describing non-geometric string backgrounds. By employing a first order formulation of interacting chiral bosons, we first refine the analysis…

High Energy Physics - Theory · Physics 2011-06-02 Gianguido Dall'Agata , Nikolaos Prezas

Duality covariant curvature and torsion tensors in double field theory/generalized geometry are central in analyzing consistent truncations, generalized dualities, and related integrable $\sigma$-models. They are constructed systematically…

High Energy Physics - Theory · Physics 2024-12-25 Falk Hassler , David Osten , Yuho Sakatani

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by…

High Energy Physics - Theory · Physics 2009-10-30 Sheldon Katz , Albrecht Klemm , Cumrun Vafa

We explore the family of fixed points of T-Duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, additionally to the spacelike isometry in which the T-Duality…

High Energy Physics - Theory · Physics 2008-11-26 Eloy Ayón-Beato , Gaston Giribet

We propose that generalized symmetries in some string-constructed QFTs are given by K-theory. We thus have \textit{even-form} and \textit{odd-form} symmetries determined by $K_N(\partial X)$, the twisted K-theory as D-brane charges on the…

High Energy Physics - Theory · Physics 2026-03-20 Hao Y. Zhang
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