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相关论文: On mysteriously missing T-duals, H-flux and the T-…

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We present an explicit formula for the topology and H-flux of the T-dual of a general type II compactification, significantly generalizing earlier results. Our results apply to T-dualities with respect to any circle action on spacetime. As…

高能物理 - 理论 · 物理学 2012-11-06 Varghese Mathai , Siye Wu

It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form) is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with H-flux do not necessarily have a T-dual which is a…

高能物理 - 理论 · 物理学 2014-11-18 Varghese Mathai , Jonathan Rosenberg

We present a general formula for the topology and H-flux of the T-dual of a type two compactification. Our results apply to T-dualities with respect to any free circle action. In particular we find that the manifolds on each side of the…

高能物理 - 理论 · 物理学 2007-05-23 Peter Bouwknegt , Jarah Evslin , Varghese Mathai

We use noncommutative topology to study T-duality for principal torus bundles with H-flux. We characterize precisely when there is a "classical" T-dual, i.e., a dual bundle with dual H-flux, and when the T-dual must be "non-classical," that…

高能物理 - 理论 · 物理学 2014-11-18 Varghese Mathai , Jonathan Rosenberg

We investigate a simple class of type II string compactifications which incorporate nongeometric "fluxes" in addition to "geometric flux" and the usual H-field and R-R fluxes. These compactifications are nongeometric analogues of the…

高能物理 - 理论 · 物理学 2009-11-11 Jessie Shelton , Washington Taylor , Brian Wecht

Representing the data of a string compactified on a circle in the background of H-flux in terms of the geometric data of a principal loop group bundle, we show that T-duality in type II string theory can be understood as the interchange of…

高能物理 - 理论 · 物理学 2009-04-01 Peter Bouwknegt , Varghese Mathai

Many important ideas about string duality that appear in conventional $\T^2$ compactification have analogs for $\T^2$ compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

In this paper we study T-duality for principal torus bundles with H-flux. We identify a subset of fluxes which are T-dualizable, and compute both the dual torus bundle as well as the dual H-flux. We briefly discuss the generalized Gysin…

高能物理 - 理论 · 物理学 2007-05-23 Peter Bouwknegt , Keith Hannabuss , Varghese Mathai

It is known that the topological T-duality exchanges $H$ and $F$-fluxes. In this paper, we reformulate the topological T-duality as an exchange of two Lie algebroids in the generalized tangent bundle. Then, we apply the same formulation to…

高能物理 - 理论 · 物理学 2015-11-25 T. Asakawa , H. Muraki , S. Watamura

We investigate compactifications with duality twists and their relation to orbifolds and compactifications with fluxes. Inequivalent compactifications are classified by conjugacy classes of the U-duality group and result in gauged…

高能物理 - 理论 · 物理学 2011-05-05 Atish Dabholkar , Chris Hull

We begin by presenting a symmetric version of the circle equivariant T-duality result in a joint work of the second author with Siye Wu, thereby generalising the results there. We then initiate the study of twisted equivariant Courant…

高能物理 - 理论 · 物理学 2018-06-22 Andrew Linshaw , Varghese Mathai

Various approaches to T-duality with NSNS three-form flux are reconciled. Non-commutative torus fibrations are shown to be the open-string version of T-folds. The non-geometric T-dual of a three-torus with uniform flux is embedded into a…

高能物理 - 理论 · 物理学 2008-11-26 Pascal Grange , Sakura Schafer-Nameki

Since T-duality has been proved only perturbatively and most of the heterotic states map into solitonic, non-perturbative, type II states, the 6-dimensional string-string duality between the heterotic string and the type II string is not…

高能物理 - 理论 · 物理学 2015-06-26 L. Girardello , M. Porrati , A. Zaffaroni

We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The method works for both untwisted and twisted circle…

高能物理 - 理论 · 物理学 2024-01-03 Lakshya Bhardwaj

We extend the $C^{\ast}-$algebraic formalism of Topological T-duality to section algebras of locally trivial bundles of strongly self-absorbing $C^{\ast}-$algebras and to a larger class of String Theoretic dualities. We argue that…

数学物理 · 物理学 2023-06-05 Ashwin S. Pande

T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise integral of the H-flux, as we motivate using E_8 and also using S-duality. We present known and new examples including NS5-branes, nilmanifolds, Lens…

高能物理 - 理论 · 物理学 2008-11-26 P. Bouwknegt , J. Evslin , V. Mathai

In string theory, the concept of T-duality between two principal T^n-bundles E_1 and E_2 over the same base space B, together with cohomology classes h_1\in H^3(E_1) and h_2\in H^3(E_2), has been introduced. One of the main virtues of…

几何拓扑 · 数学 2023-06-08 Ulrich Bunke , Philipp Rumpf , Thomas Schick

In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes $h_1\in H^3(E_1)$ and $h_2\in H^3(E_2)$, has been introduced. One of the main virtues of…

几何拓扑 · 数学 2010-11-26 Ulrich Bunke , Thomas Schick

We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles…

高能物理 - 理论 · 物理学 2016-01-20 Ioannis Bakas , Dieter Lust

We define a new correspondence for pairs $(\mathbb{F},H)$ formed by a flag manifold $\mathbb{F}$ together with an $H$-flux on $\mathbb{F}$. Given its role within our correspondence, infinitesimal $T$-duality may be viewed as a source of…

微分几何 · 数学 2023-08-24 Elizabeth Gasparim , Lino Grama , Carlos Varea
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