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We effectively bound T-singularities on non-rational projective surfaces with an arbitrary amount of T-singularities and ample canonical class. This fully generalizes the previous work for the case of one singularity, and illustrates the…

Algebraic Geometry · Mathematics 2024-04-10 Fernando Figueroa , Julie Rana , Giancarlo Urzúa

T-duality is a symmetry of the heterotic string to all orders in string perturbation theory. This results in an effective four dimensional supergravity theory with desirable features for phenomenology. T-duality, as well as, generically, an…

High Energy Physics - Theory · Physics 2015-05-14 Mary K. Gaillard

The distance conjecture diagnoses viable low-energy effective realisation of consistent theories of quantum gravity by examining their breakdown at infinite distance in their parameter space. At the same time, infinite distance points in…

High Energy Physics - Theory · Physics 2024-05-09 Saskia Demulder , Dieter Lust , Thomas Raml

T-duality of string theory suggests nonlocality manifested as the shortest possible distance. As an alternative, we suggest a nonlocal formulation of string theory that breaks T-duality at the fundamental level and does not require the…

High Energy Physics - Theory · Physics 2008-11-26 H. Nikolic

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

It is shown that when the underlying sigma model of bosonic string theory is written in terms of single-valued fields, which live in the covering space of the target space, Abelian T-duality survives lattice regularization of the…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian Jaimungal

T-duality has been shown to constrain the higher derivative corrections of string theory. We revisit the problem of understanding the T-duality constraints imposed on the $\alpha'$ corrections using the language of a torsionful connection.…

High Energy Physics - Theory · Physics 2023-03-01 Marina David , James T. Liu

Dualities and duality transformations form a well established methodology in various aspects of quantum many body physics and quantum field theories, allowing one to exploit equivalence between models which may naively seem completely…

High Energy Physics - Theory · Physics 2025-09-30 Gertian Roose , Erez Zohar

We study T-duality for open strings in various $D$-manifolds in the approach of canonical transformations. We show that this approach is particularly useful to study the mapping of the boundary conditions since it provides an explicit…

High Energy Physics - Theory · Physics 2009-10-30 J. Borlaf , Y. Lozano

We investigate the interplay between self-duality and spatially modulated symmetry of generalized $N$-state clock models, which include the transverse-field Ising model and ordinary $N$-state clock models as special cases. The spatially…

Strongly Correlated Electrons · Physics 2025-08-21 Donghae Seo , Gil Young Cho , Robert-Jan Slager

We extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation…

High Energy Physics - Theory · Physics 2010-10-27 Takaaki Ishii , Goro Ishiki , Shinji Shimasaki , Asato Tsuchiya

Duality transformations with respect to rotational isometries relate supersymmetric with non-supersymmetric backgrounds in string theory. We find that non-local world-sheet effects have to be taken into account in order to restore…

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

We investigate how T-duality and solving the boundary conditions of the open bosonic string are related. We start by considering the T-dualization of the open string moving in the constant background. We take that the coordinates of the…

High Energy Physics - Theory · Physics 2019-10-21 Ljubica Davidović , Branislav Sazdović

We consider a theory of an open string moving in a weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with an infinitesimal field strength. We find its T-dual using the generalized…

High Energy Physics - Theory · Physics 2017-04-25 Ljubica Davidović

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

String geometry theory is one of the candidates of non-perturbative formulation of string theory. In this paper, we have shown that dimensionally reduced string geometry theories have what we call T-symmetry. In case of the dimensional…

High Energy Physics - Theory · Physics 2025-03-04 Matsuo Sato , Taiki Tohshima

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 examine conformal rescaling and T-duality in the context of four-dimensional HKT geometries. The closure of the torsion forces the conformal factor to satisfy a modified harmonic equation. Because of this equation the conformal factors…

High Energy Physics - Theory · Physics 2014-11-18 A. Opfermann

The S--duality transformations of the lowest order string effective theory admit a space time interpretation for 4-dim backgrounds with one Killing symmetry. Starting from pure gravity and performing a sequence of intertwined T-S-T duality…

High Energy Physics - Theory · Physics 2009-10-28 Ioannis Bakas

We extend the formalism of Topological T-duality to spaces which are the total space of a principal $S^1$-bundle $p:E \to W$ with an $H$-flux in $H^3(E,Z)$ together the together with an automorphism of the continuous-trace algebra on $E$…

Mathematical Physics · Physics 2014-06-06 Ashwin S. Pande
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