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This book covers some recent advances in string theory and extra dimensions. Intended mainly for advanced graduate students in theoretical physics, it presents a rare combination of formal and phenomenological topics, based on the annual lectures given at the School of the Theoretical Advanced Study Institute (2001) - a traditional event that brings together graduate students in high energy physics for an intensive course of advanced learning. The lecturers in the School are leaders in their fields. The first lecture, by E D'Hoker and D Freedman, is a systematic introduction to the gauge-gravi

String models --- Branes --- p-branes --- Superstring theories

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Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspe

Black holes (Astronomy) --- Branes --- Compactifications --- Duality (Nuclear physics) --- Gravity --- String models --- Supersymmetry --- Geophysics --- Mechanics --- Pendulum --- Nuclear reactions --- Scattering (Physics) --- Topology --- p-branes --- Superstring theories

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Supersymmetry, strings and branes are believed to be the essential ingredients in a single unified consistent theory of physics. This book gives a detailed, step-by-step introduction to the theoretical foundations required for research in strings and branes. After a study of the different formulations of the bosonic and supersymmetric point particles, the classical and quantum bosonic and supersymmetric string theories are presented. This book includes accounts of brane dynamics and D-branes and the T, S and U duality symmetries of string theory. The historical derivation of string theory is given as well as the sum over the world-sheet approach to the interacting string. More advanced topics include string field theory and Kac-Moody symmetries. The book contains pedagogical accounts of conformal quantum field theory, supergravity theories, Clifford algebras and spinors, and Lie algebras. It is essential reading for graduate students and researchers wanting to learn strings and branes.

Superstring theories. --- Branes. --- p-branes --- Superstring theories --- Superstrings (Nuclear physics) --- Theories, Superstring --- String models --- Supersymmetry. --- Unified theories --- Particles (Nuclear physics) --- Symmetry (Physics)

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As recent developments have shown, supersymmetric quantum field theory and string theory are intimately related, with advances in one area often shedding light on the other. The organising ideas of most of these advances are the notion of duality and the physics of higher dimensional objects or p-branes. The topics covered in the present volume include duality in field theory, in particular in supersymmetric field theory and supergravity, and in string theory. The Seiberg-Witten theory and its recent developments are also covered in detail. A large fraction of the volume is devoted to the current state of the art in M-theory, in particular its underlying superalgebra as well as its connection with superstring and N = 2 strings. The physics of D-branes and its essential role in the beautiful computation of the black hole entropy is also carefully covered. Finally, the last two sets of lectures are devoted to the exciting matrix approach to non-perturbative string theory.

Duality (Nuclear physics) --- Branes --- String models --- Supersymmetry --- Field theory (Physics) --- Elementary particles (Physics). --- Quantum field theory. --- Nuclear physics. --- Heavy ions. --- Mathematical physics. --- Elementary Particles, Quantum Field Theory. --- Nuclear Physics, Heavy Ions, Hadrons. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Ions --- Atomic nuclei --- Atoms, Nuclei of --- Nucleus of the atom --- Relativistic quantum field theory --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Mathematics --- p-branes --- Superstring theories --- Nuclear reactions --- Scattering (Physics) --- String models - Congresses. --- Supersymmetry - Congresses. --- Duality (Nuclear physics) - Congresses. --- Field theory (Physics) - Congresses. --- Branes - Congresses.