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The areas covered in this volume include: duality in string theory and supersymmetric gauge theories; phenomenological applications of string theory; strings in curved spacetime; quantum gravity; SUSY conformal field theories; QCD strings; aspects of mathematical physics, including: mirror symmetry, W-algebras, representation theory.
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable ...
In June 1997, fifty-seven of the world's best students gathered at TASI '97 in Boulder, Colorado, USA, to attend an intensive series of lectures on the theory and phenomenology of supersymmetry, supergravity and supercolliders. This book contains the proceedings of that school. It is aimed at advanced graduate students as well as postdoctoral and other researchers. It provides a snapshot of the state-of-the-art in an active area of high energy particle theory, and may perhaps serve as a preview of physics to be discovered in the next decade.
Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.
During its forty year lifespan, string theory has always had the power to divide, being called both a 'theory of everything' and a 'theory of nothing'. Critics have even questioned whether it qualifies as a scientific theory at all. This book adopts an objective stance, standing back from the question of the truth or falsity of string theory and instead focusing on how it came to be and how it came to occupy its present position in physics. An unexpectedly rich history is revealed, with deep connections to our most well-established physical theories. Fully self-contained and written in a lively fashion, the book will appeal to a wide variety of readers from novice to specialist.
The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the string-theoretic interface between the two academic fields. The String-Math conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface. This volume contains the proceedings of the inaugural conference in this series, String-Math 2011, which was held June 6-11, 2011, at the University of Pennsylvania.
The attempt to understand the nature of particle physics at the weak scale is the major goal of the current generation of collider facilities. Theorists attempt to stretch their theories to the Planck scale and beyond with the very ambitious theory of superstrings. Particle physics at all energy scales has important implications for the theory of the Early Universe. Lectures on Standard Model, Grand Unification and Supersymmetry and the present status of string and superstring theory are given by both theorists and experimentalists in a complete and pedagogical manner. Finally, lectures notes on the Early Universe, galaxy formation, and high energy colliders are directed specifically at particle physicists.
During August 1983, a group of 89 physicists from 59 labora tories in 23 countries met in Erice for the 21st Course of the International School of Subnuclear Physics. The countries repre sented were Algeria, Australia, Austria, Canada, Czechoslovakia, the Federal Republic of Germany, Finland, France, Hungary, India, Israel, Italy, Japan, the Netherlands, South Africa, Spain, Sweden, Switzerland, Taiwan, Turkey, the United Kingdom, the United States of America, and Yugoslavia. The School was sponsored by the European Physical Society (EPS), the Italian Ministry of Education (MPI), the Italian Ministry of Scientific and Technological Research (MRST), the Sicilian Regional Government (ERS), and the Weizmann Institute of Science. The programme of the School was mainly devoted to a review of the most significant results, both in theory and experiment, obtained in the field of the "electroweak" and of the "colour" forces of nature. The outcome of the Course was to present a clear picture of how far we are from the electronuclear formulation of these basic forces acting between quarks and leptons. And more generally, how far we are from the unification of all gauge forces of nature.