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Buscher duality is a sigma-model duality, implemented by transformation of the target space. Not only in the case of a flat target space, but in a general background, should the Buscher duality reduce to the T-duality familiar in the…

高能物理 - 理论 · 物理学 2009-11-11 P. Matlock , R. Parthasarathy

Mirror symmetry was first observed in worldsheet string constructions and shown to have profound implications in the Effective Field Theory (EFT) limit of string compactifications, and for the properties of Calabi-Yau manifolds. It opened…

高能物理 - 理论 · 物理学 2024-11-07 Alon E. Faraggi

The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In…

高能物理 - 理论 · 物理学 2007-05-23 Ron Y. Donagi

Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The…

高能物理 - 理论 · 物理学 2009-09-17 Katrin Becker , Melanie Becker , Andrew Strominger

Duality symmetries for strings moving in non-trivial spacetime backgrounds are analysed. It is shown that for backgrounds generated from WZW and coset CFT models such duality symmetries are exact to all orders in string perturbation theory.…

高能物理 - 理论 · 物理学 2007-05-23 E. Kiritsis

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

String theory and supersymmetry are theoretical ideas that go beyond the standard model of particle physics and show promise for unifying all forces. After a brief introduction to supersymmetry, we discuss the prospects for its experimental…

高能物理 - 理论 · 物理学 2008-11-26 John H. Schwarz , Nathan Seiberg

Heterotic string compactifications on a $K3$ surface $\mathfrak{S}$ depend on a choice of hyperk\"ahler metric, anti-self-dual gauge connection and Kalb-Ramond flux, parametrized by hypermultiplet scalars. The metric on hypermultiplet…

高能物理 - 理论 · 物理学 2014-09-04 Sergei Alexandrov , Jan Louis , Boris Pioline , Roberto Valandro

In the context of (0,2) gauged linear sigma models, we explore chains of perturbatively dual heterotic string compactifications. The notion of target space duality originates in non-geometric phases and can be used to generate distinct…

高能物理 - 理论 · 物理学 2017-02-01 Lara B. Anderson , He Feng

We propose a construction of string cohomology spaces for Calabi-Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined explicitly in terms of the corresponding reflexive polyhedra in a…

代数几何 · 数学 2007-05-23 Lev A. Borisov , Anvar R. Mavlyutov

An interpretation of spacelike singularities in string theory uses target space duality to relate the collapsing Schwarzschild geometry near the singularity to an inflationary cosmology in dual variables. An appealing picture thus results…

高能物理 - 理论 · 物理学 2010-04-06 Emil Martinec

String-string duality dictates that type IIA strings compactified on a K3 surface acquire non-abelian gauge groups for certain values of the K3 moduli. We argue that, contrary to expectation, the theories for which such enhanced gauge…

高能物理 - 理论 · 物理学 2009-10-28 Paul S. Aspinwall

The aim of these notes is to give recent developments in string theory. In particular, we discuss the string spectrums, compactifications, brane physics and dualities.

高能物理 - 理论 · 物理学 2008-08-22 Adil Belhaj

A simple geometric description of T-duality is given by identifying the cotangent bundles of the original and the dual manifold. Strings propagate naturally in the cotangent bundle and the original and the dual string phase spaces are…

高能物理 - 理论 · 物理学 2009-10-28 C. Klimcik , P. Severa

Target space duality (T duality), which interchanges Kaluza--Klein and winding-mode excitations of the compactified heterotic string, is realized as a symmetry of a world-sheet action. Axion-dilaton duality (S duality), a conjectured…

高能物理 - 理论 · 物理学 2009-09-15 John H. Schwarz , Ashoke Sen

We show that there are two different dualities of two dimensional gauge theories with N=(2,2) supersymmetry. One is basically a consequence of 3d mirror symmetry. The non-linear sigma model with Calabi-Yau target space on the Higgs branch…

高能物理 - 理论 · 物理学 2011-04-15 Mina Aganagic , Andreas Karch

We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative…

高能物理 - 理论 · 物理学 2009-07-09 Shamit Kachru , Cumrun Vafa

We formulate a twisted version of the conjectured duality between heterotic and type I string theories. Our formulation relates the chiral part of the heterotic string with a type I topological B-model on a Calabi-Yau five-fold. We provide…

高能物理 - 理论 · 物理学 2021-10-28 Kevin Costello , Brian R. Williams

String theory is a quantum theory that reproduces the results of General Relativity at long distances but is completely different at short distances. Mathematically, string theory is based on a very new -- and little understood -- framework…

高能物理 - 理论 · 物理学 2007-05-23 Edward Witten

It is shown that many of the conjectured dualities involving orbifold compactification of M-theory follow from the known dualities involving M-theory and string theory in ten dimensions, and the ansatz that orbifolding procedure commutes…

高能物理 - 理论 · 物理学 2009-09-15 Ashoke Sen