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The Advancea Kesearch Workshop on Superstrings was held on the campus of the University of Colorado at Boulder from July 27th through August 1, 1987. Since the work of Green and Schwartz in the summer of 1984, string theories have elicited tremendous amount of interest from both theoretical physicists and mathematicians. The objective of the Workshop was to bring together practitioners in the field to discuss the progress and problems, and possible directions of future research. There were ten talks of one hour each and twenty three talks of one-half hour each. The talks covered new formulations and technical developments. There were intense discussions both during and at the end of the lectures; 'further discussions continued during lunch and dinner. These proceedings contain all talks given at the Workshop except those by Victor Kac, Darwin Chang and Doron Gepner. The Workshop was sponsored by the North Atlantic Treaty Organization, which provided generous financial support enabling many young physicists from the U.S. and abroad to participate in the Workshop. Additional co-sponsors were the U.S. Department of Energy and the University of Colorado. The former offered further financial assistance and the latter furnished clerical and technical services and its campus facilities for the purpose of the organization and running of the Workshop. The International Organizing Committee consisted of John Ellis, Francois Englert, Peter G.O. Freund (co-director), K. T. Mahanthappa (co-director) and Abdus Salam.
The fundamental structure of matter and spacetime at the shortest length scales remains an exciting frontier of basic research in theoretical physics. A unifying theme in this area is the quantization of geometrical objects. The majority of lectures at the Advanced Study Institute on Quantum Ge ometry in Akureyri was on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary par ticles and interactions. The geometric concept of one-dimensional extended objects, or strings, has always been at the core of superstring theory but in recent years the focus has shifted to include also higher-dimensional ob jects, so called D-branes, which play a key role in the non-perturbative dynamics of the theory. A related development has seen the strong coupling regime of a given string theory identified with the weak coupling regime of what was previ ously believed to be a different theory, and a web of such" dualities" that interrelates all known superstring theories has emerged. The resulting uni fied theoretical framework, termed M-theory, has evolved at a rapid pace in recent years.
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The July/August 1989 Cargese (France) Summer Institute centered on the topics of new experimental results; strings, superstrings and conformal field theory; and lattice approximations. Annotation copyright Book News, Inc. Portland, Or.
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The papers in this volume provide an updated status of the last developments and current problems in string theory in connection with gravity and the physics at the Planck scale. This volume also contains excellent discussions on fundamental problems of quantum gravity and the physics at the Planck energy scale in the present-day context, irrespective of strings or any other models.
Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.
This proceedings is a follow-up for the TASI series held annually to discuss the current theoretical and experimental status in elementary particle physics. Since TASI is designed primarily for advanced graduate students, lectures tend to be pedagogical, in the same mood of the equally successful Erice schools. Brown TASI-88 covered four inter-related areas: Standard Particle Physics, Non-Perturbative Aspects of Quantum Field Theories, Strings and Superstrings, Cosmology and Neutrino-Astrophysics.
Branes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theo