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This is a very brief survey of some results in the geometry of string duality delivered at a lecture given at ICM 1998, Berlin. String Duality is the statement that one kind of string theory compactified on one space is equivalent in some…

Algebraic Geometry · Mathematics 2007-05-23 Paul S. Aspinwall

We consider the phenomenological implications of a class of compactified string theories which naturally reproduces the flavour multiplet structure of the Standard Model. The implications for gauge unification depends on which of three…

High Energy Physics - Phenomenology · Physics 2009-10-30 Witold Pokorski , Graham G. Ross

We use local mirror symmetry in type IIA string compactifications on Calabi-Yau n+1 folds $X_{n+1}$ to construct vector bundles on (possibly singular) elliptically fibered Calabi-Yau n-folds Z_n. The interpretation of these data as valid…

High Energy Physics - Theory · Physics 2008-11-26 P. Berglund , P. Mayr

Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic…

High Energy Physics - Theory · Physics 2024-03-19 Nima Arkani-Hamed , Clifford Cheung , Carolina Figueiredo , Grant N. Remmen

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

We review the status of duality symmetries in superstring theories. These discrete symmetries mark the striking differences between theories of pointlike objects and theories of extended objects. They prove to be very helpful in…

High Energy Physics - Theory · Physics 2011-04-15 Massimo Bianchi

We provide a study of the phenomenology of orbifold compactifications of the heterotic string within the context of supergravity effective theories. Our investigation focuses on those models where the soft Lagrangian is dominated by loop…

High Energy Physics - Phenomenology · Physics 2017-08-23 Y. Mambrini

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…

High Energy Physics - Theory · Physics 2024-11-11 Hamza Ahmed , Paul-Konstantin Oehlmann , Fabian Ruehle

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…

High Energy Physics - Theory · Physics 2024-01-03 Lakshya Bhardwaj

A brief review of the status of duality symmetries in string theory is presented. The evidence is accumulating rapidly that an enormous group of duality symmetries, including perturbative T dualities and non-perturbative S-dualities,…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

Modular invariance is a fundamental symmetry in string compactifications, constraining both the structure of the effective theory and the dynamics of moduli and matter fields. It has also gained renewed importance in the context of…

We provide a detailed study of the phenomenology of orbifold compactifications of the heterotic string within the context of supergravity effective theories. Our investigation focuses on those models where the soft Lagrangian is dominated…

High Energy Physics - Phenomenology · Physics 2009-01-07 Pierre Binetruy , Andreas Birkedal-Hansen , Yann Mambrini , Brent D. Nelson

We analyse various two dimensional theories arising from compactification of type II and heterotic string theory on asymmetric orbifolds. We find extra supersymmetry generators arising from twisted sectors, giving rise to exotic…

High Energy Physics - Theory · Physics 2018-04-04 Ioannis Florakis , Iñaki García-Etxebarria , Dieter Lust , Diego Regalado

Modular flavor symmetries refers to scenarios in which fermion masses respect modular symmetries. Such scenarios have been studied in the bottom-up approach and have an explicit realization in string theory. They rely on the remarkable…

High Energy Physics - Phenomenology · Physics 2024-05-03 Michael Ratz

The motivation for Calabi-Yau-like compactifications of the weakly coupled $E_8\otimes E_8$ heterotic string theory, its particle spectrum and the issue of dilaton stabilization are briefly reviewed. Modular invariant models for hidden…

High Energy Physics - Phenomenology · Physics 2009-11-11 Mary K. Gaillard

Exceptional field theories are the manifestly duality covariant formulations of the target space theories of string/M-theory in the low-energy limit (supergravity) or for certain truncations. These theories feature a rich system of…

High Energy Physics - Theory · Physics 2019-06-19 Olaf Hohm , Henning Samtleben

Black holes in string theory compactified on Calabi-Yau varieties a priori might be expected to have moduli dependent features. For example the entropy of the black hole might be expected to depend on the complex structure of the manifold.…

Algebraic Geometry · Mathematics 2007-05-23 Monika Lynker , Vipul Periwal , Rolf Schimmrigk

This is a review. Comments are welcome. The observation that the structure of string theory is rich enough to include the standard model in rough outline is an old one, starting with the early constructions of free field constructions,…

High Energy Physics - Theory · Physics 2008-10-13 Rolf Schimmrigk

6-dimensional superconformal field theories are exotic and fascinating. They emerge from compactifications of F-theory on Calabi-Yau elliptic fibrations, which grants them a rich array of dualities with various other formulations of string…

High Energy Physics - Theory · Physics 2024-02-12 David Jaramillo Duque

We construct spacetime supersymmetric, modular invariant partition functions of strings on the conifold-type singularities which include contributions from the discrete-series representations of SL(2, R). The discrete spectrum is…

High Energy Physics - Theory · Physics 2008-11-26 Shun'ya Mizoguchi