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A general formula for the topology and H-flux of the T-duals of type II string theories with H-flux on toroidal compactifications is presented here. It is known that toroidal compactifications with H-flux do not necessarily have T-duals…

高能物理 - 理论 · 物理学 2020-08-25 Varghese Mathai , Jonathan Rosenberg

We study the compactification of OM-theory on tori and show a simple heuristic derivation of the $S$-duals of noncommutative open string theory in diverse dimensions from the OM-theoretical point of view. In particular, we identify the…

高能物理 - 理论 · 物理学 2010-11-19 Teruhiko Kawano , Seiji Terashima

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

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…

高能物理 - 理论 · 物理学 2009-12-15 C. M. Hull , R. A. Reid-Edwards

We show that the same wrapping rules that have been derived for the branes of IIA and IIB string theory also apply to the branes of the toroidally compactified heterotic string theory. Moreover, we show that applying these wrapping rules to…

高能物理 - 理论 · 物理学 2015-06-11 Eric A. Bergshoeff , Fabio Riccioni

We show how the brane wrapping rules, recently discovered in closed oriented string theories compactified on tori, are extended to the case of the Type IIA string compactified on K3. To this aim, a crucial role is played by the duality…

高能物理 - 理论 · 物理学 2015-06-17 E. A. Bergshoeff , C. Condeescu , G. Pradisi , F. Riccioni

A duality theory of bundles of C$^*$-algebras whose fibres are twisted transformation group algebras is established. Classical T-duality is obtained as a special case, where all fibres are commutative tori, i.e. untwisted group algebras for…

算子代数 · 数学 2017-07-07 Siegfried Echterhoff , Ansgar Schneider

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…

微分几何 · 数学 2021-11-24 Vicente Cortés , Liana David

By identifying the moduli space of coupling constants in the SYM description of toroidal compactifications of M(atrix)-Theory, we construct the M(atrix) description of the moduli spaces of Type IIA string theory compactified on T^n.…

高能物理 - 理论 · 物理学 2010-11-19 David Berenstein , Richard Corrado , Jacques Distler

$T\bar{T}$ deformed conformal field theories can be reformulated as worldsheet theories of non-critical strings. We use this correspondence to compute and study the $T\bar{T}$ deformed partition sum of a symmetric product CFT. We find that…

高能物理 - 理论 · 物理学 2023-05-23 Nathan Benjamin , Scott Collier , Jorrit Kruthoff , Herman Verlinde , Mengyang Zhang

We consider Narain T-duality on a nontrivially fibered n-torus bundle in the presence of a topologically nontrivial NS H flux. The action of the duality group on the topology and H flux of the corresponding type II and heterotic string…

高能物理 - 理论 · 物理学 2009-07-22 Jarah Evslin , Ruben Minasian

We revisit the duality between heterotic string theory compactified on K3 x T^2 and type IIA compactified on a Calabi-Yau threefold X in the hypermultiplet sector. We derive an explicit map between the field variables of the respective…

高能物理 - 理论 · 物理学 2015-06-03 Jan Louis , Roberto Valandro

We discuss Born-Infeld on the noncommutative two-torus as a description of compactified string theory. We show that the resulting theory, including the fluctuations, is manifestly invariant under the T-duality group SO(2,2;Z). The BPS mass…

高能物理 - 理论 · 物理学 2010-02-03 C. Hofman , E. Verlinde

Characters of $E_8\otimes E_8$ and SO(32) heterotic strings involving the full internal symmetry Cartan subalgebra generators are defined after circle compactification so that they are T dual. The novel point, as compared with an earlier…

高能物理 - 理论 · 物理学 2009-10-31 Jean-Loup Gervais

In this work, we significantly expand the web of T-dualities among heterotic NS5-brane theories with eight supercharges. This is achieved by introducing twists involving outer automorphisms of discrete gauge/flavor factors and tensor…

高能物理 - 理论 · 物理学 2024-11-11 Hamza Ahmed , Paul-Konstantin Oehlmann , Fabian Ruehle

We present a 1-loop toroidal membrane winding sum reproducing the conjectured $M$-theory, four-graviton, eight derivative, $R^4$ amplitude. The $U$-duality and toroidal membrane world-volume modular groups appear as a Howe dual pair in a…

高能物理 - 理论 · 物理学 2010-01-15 Boris Pioline , Andrew Waldron

We study discrete fluxes in four dimensional SU(N) gauge theories with a mass gap by using brane compactifications which give ${\cal{N}} = 1$ or ${\cal{N}} = 0$ supersymmetry. We show that when such theories are compactified further on a…

高能物理 - 理论 · 物理学 2010-11-19 Z. Guralnik

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…

高能物理 - 理论 · 物理学 2013-10-14 Calder Daenzer

The doubled formulation of string theory, which is T-duality covariant and enlarges spacetime with extra coordinates conjugate to winding number, is reformulated and its geometric and topological features examined. It is used to formulate…

高能物理 - 理论 · 物理学 2008-11-26 C M Hull

Recently Baraglia showed how topological T-duality can be extended to apply not only to principal circle bundles, but also to non-principal circle bundles. We show that his results can also be recovered via two other methods: the…

高能物理 - 理论 · 物理学 2014-12-05 Varghese Mathai , Jonathan Rosenberg