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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

In these lectures a general introduction to T-duality is given. In the abelian case the approaches of Buscher, and Ro\u{c}ek and Verlinde are reviewed. Buscher's prescription for the dilaton transformation is recovered from a careful…

High Energy Physics - Theory · Physics 2009-09-25 E. Alvarez , L. Alvarez-Gaume , Y. Lozano

String theory suggests modifications of our spacetime such as extra dimensions and the existence of a mininal length scale. In models with addidional dimensions, the Planck scale can be lowered to values accessible by future colliders.…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Hossenfelder , M. Bleicher , H. Stocker

The phenomenological aspects of string theory are briefly reviewed. Emphasis is given to the status of 4D string model building, effective Lagrangians, model independent results, supersymmetry breaking and duality symmetries.

High Energy Physics - Theory · Physics 2009-10-30 Fernando Quevedo

An approach to systematically implement open-closed string duality for free large $N$ gauge theories is summarised. We show how the relevant closed string moduli space emerges from a reorganisation of the Feynman diagrams contributing to…

High Energy Physics - Theory · Physics 2009-11-10 Rajesh Gopakumar

These are the lecture notes of the introductory String Theory course held by one of the authors for the master program of Theoretical Physics at Turin University. The world-sheet approach to String Theory is pedagogically introduced in the…

High Energy Physics - Theory · Physics 2025-02-05 Carlo Maccaferri , Fabio Marino , Beniamino Valsesia

These are my personal impressions of the environment in which string theory was born, and what the important developments affecting my work were during the hadronic string era, 1968-1974. I discuss my motivations and concerns at the time,…

High Energy Physics - Theory · Physics 2007-12-19 Joel A. Shapiro

This is an appendix to the Handbook of Tilting Theory, edited by Angeleri-Huegel, Happel and Krause, to be published soon. Part 1 of the appendix provides an outline of the core of tilting theory. Part 2 is devoted to topics where tilting…

Representation Theory · Mathematics 2007-05-23 Claus Michael Ringel

Published in Hadrons, Nuclei and Applications, World Scientific, Singapore, Proc.of the Conference Bologna2000. Structure of the Nucleus at the Dawn of the Century, G. Bonsignori, M. Bruno, A. Ventura, D. Vretenar Editors, pag. 319.

Nuclear Theory · Physics 2019-08-17 M. A. Perez-Garcia , J. Diaz-Alonso , L. Mornas , J. P. Suarez

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

We discuss different formulations and approaches to string theory and $ 2d$ quantum gravity. The generic idea to get a unique description of {\it many} different string vacua altogether is demonstrated on the examples in $ 2d$ conformal,…

High Energy Physics - Theory · Physics 2009-10-28 A. Marshakov

String theory builds on the great legacy of Yukawa and Tomonaga: New degrees of freedom and control of the UV are two important themes. This talk will give an overview of some of the progress and some of the unsolved problems that…

High Energy Physics - Theory · Physics 2009-11-13 John H. Schwarz

This contribution to the Proceedings is based on the talk given at the Conference on Birth of the Universe and Fundamental Physics, Rome, May 18-21, 1994. Some selected topics of the subject are reviewed: Models of Primordial Fluctuations;…

Astrophysics · Physics 2009-10-22 Lev Kofman

This article, based on the Klein lecture, contains some new results and new speculations on various topics. They include discussion of open strings in the AdS space, unusual features of D-branes, conformal gauge theories in higher…

High Energy Physics - Theory · Physics 2009-10-31 A. M. Polyakov

The solution term by term to the scattering of all consistent string theories is given. The moduli space of M-theory is derived and connects the various string theories. The solutions contain both the perturbative and non-perturbative…

General Physics · Physics 2007-05-23 Gordon Chalmers

The first part of this report gives a very quick sketch of how string theory concepts originated and evolved during its first 25 years (1968-93). The second part presents a somewhat more detailed discussion of the highlights of the past…

Astrophysics · Physics 2007-05-23 John H. Schwarz

A brief discussion is presented assessing the achievements and challenges of string phenomenology: the subfield dedicated to study the potential for string theory to make contact with particle physics and cosmology. Building from the well…

High Energy Physics - Theory · Physics 2016-12-14 Fernando Quevedo

This review is devoted to open strings, and in particular to the often surprising features of their spectra. It follows and summarizes developments that took place mainly at the University of Rome ``Tor Vergata'' over the last decade, and…

High Energy Physics - Theory · Physics 2014-11-18 Carlo Angelantonj , Augusto Sagnotti

We study cocycle properties of vertex operators and present an operator representation of cocycle operators, which are attached to vertex operators to ensure the duality of amplitudes. It is shown that this analysis makes it possible to…

High Energy Physics - Theory · Physics 2008-11-26 Tsutomu Horiguchi , Makoto Sakamoto , Masayoshi Tabuse

An introductory survey of some of the developments that have taken place in superstring theory in the past few years is presented. The main focus is on three particular dualities. The first one is the appearance of an 11th dimension in the…

High Energy Physics - Theory · Physics 2009-10-31 John H. Schwarz
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