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We carefully analyze the N=2 dual pair of string theories in four dimensions introduced by Ferrara, Harvey, Strominger and Vafa. The analysis shows that a second discrete degree of freedom must be switched on in addition to the known…

High Energy Physics - Theory · Physics 2008-11-26 Paul S. Aspinwall

An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-K\"ahler geometry and the theory of…

Analysis of PDEs · Mathematics 2019-06-11 Duong H. Phong

We apply the scale factor duality transformations introduced in the context of the effective string theory to the anisotropic Bianchi-type models. We find dual models for all the Bianchi-types [except for types $VIII$ and $IX$] and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Elisa Di Pietro , Jacques Demaret

In a recent paper, Balthazar, Rodriguez and Yin found some remarkable agreement between the results of c=1 matrix model and D-instanton corrections in two dimensional string theory. Their analysis left undetermined two constants in the…

High Energy Physics - Theory · Physics 2020-03-18 Ashoke Sen

These lectures intend to give a pedagogical introduction into some of the developments in string theory during the last years. They include perturbative T-duality and non perturbative S- and U-dualities, their unavoidable demand for…

High Energy Physics - Theory · Physics 2007-05-23 Michael Haack , Boris Kors , Dieter Lust

We give an overview of moduli stabilization in compactifications of string theory. We summarize current methods for construction and analysis of vacua with stabilized moduli, and we describe applications to cosmology and particle physics.…

High Energy Physics - Theory · Physics 2023-11-01 Liam McAllister , Fernando Quevedo

These lectures begin by reviewing the evidence for S duality of the toroidally compactified heterotic string in 4d that was obtained in the period 1992--94. Next they review recently discovered dualities that relate all five of the 10d…

High Energy Physics - Theory · Physics 2010-11-19 John H. Schwarz

The past year has seen enormous progress in string theory. It has become clear that all of the different string theories are different limits of a single theory. Moreover, in certain limits, one obtains a new, eleven-dimensional structure…

High Energy Physics - Theory · Physics 2007-05-23 Michael Dine

The article provides a survey on convolutional codes stressing the connections to module theory and systems theory. Constructions of codes with maximal possible distance and distance profile are provided. The article will appear as book…

Information Theory · Computer Science 2020-01-24 Julia Lieb , Raquel Pinto , Joachim Rosenthal

We describe some recent progress in understanding and formulating string theory which is based on extensive studies of strings in lower (D=2) dimension. At the center is a large $W_{\infty}$ symmetry that appears most simply in the matrix…

High Energy Physics - Theory · Physics 2007-05-23 A. Jevicki

The following notes derive from review lectures on closed string field theory given at the Galileo Galilei Institute for Theoretical Physics in March 2019.

High Energy Physics - Theory · Physics 2020-02-05 Theodore Erler

The talk contains a brief introduction string theory, followed by a discussion of some of the recent developments.

High Energy Physics - Lattice · Physics 2009-09-15 Ashoke Sen

We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent work by Bazzoni-Mantese-Tonolo, Yang, Angeleri…

Representation Theory · Mathematics 2017-05-19 Pedro Nicolas , Manuel Saorin

In this talk I shall try to give an elementary introduction to certain areas of mathematical physics where the idea of moduli space is used to help solve problems or to further our understanding. In the wide area of gauge theory, I shall…

High Energy Physics - Theory · Physics 2007-05-23 ST Tsou

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.…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis

This is a set of lectures given at the 99' Cargese Summer School: Particle Physics : Ideas and Recent Developments. They contain a pedestrian exposition of recent theoretical progress in non-perturbative field theory and string theory based…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Kiritsis

Some properties of central extensions of 2+1 dimensional Galilei group are discussed. It is shown that certain families of extensions are isomorphic. An interpretation of new nontrivial cocycle is offered. A few bibliographical remarks are…

q-alg · Mathematics 2008-02-03 Y. Brihaye , S. Giller , C. Gonera , P. Kosinski

In these lecture notes, I review the ``linear sigma model" approach to (0,2) string vacua. My aim is to provide the reader with a toolkit for studying a very broad class of (0,2) superconformal field theories with the requisite properties…

High Energy Physics - Theory · Physics 2009-09-25 Jacques Distler

This contribution to the volume "From My Vast Repertoire - The Legacy of Guido Altarelli" discusses the state of our knowledge of the strong coupling.

High Energy Physics - Phenomenology · Physics 2017-12-21 Gavin P. Salam