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 quantisation of geometrical objects. The majority of contributions to this volume cover recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary particles and interactions. The geometrical concept of one-dimensional extended objects (strings) has always been at the core of superstring theory, but recently the focus has shifted to include higher-dimensional objects (D-branes), which play a key role in non-perturbative dynamics of the theory. Related developments are also described in M-theory, our understanding of quantum effects in black-hole physics, gauge theory of the strong interaction, and the dynamic triangulation construction of the quantum geometry of spacetime.
Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.
Callan, C. G., Lovelace, C., Nappi, C. R., and Yost, S. A. (1988). Loop corrections to superstring equations of motion. Nucl. Phys., B308, 221. Callan, C. G., Martinec, E. J., Perry, M. J., and Friedan, D. (1985).
This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation ...
He says of his own experience: “When I first came [to the Institute of Advanced Studies in Princeton] as a visiting member 34 years ago, the ruling mandarin was Robert Oppenheimer. Oppenheimer decided which areas of physics were worth ...
This book continues the fundamental work of Arnold Sommerfeld and David Hestenes formulating theoretical physics in terms of Minkowski space-time geometry.
The main focus of the present volume is developments of M-theory and its applications to superstring theory, quantum gravity, and the theory of elementary particles. Topics included are D-branes, boundary states, and world volume solitons.
Contains selection of expository and research article by lecturers at the school.
The first title in a new series, this book explores topics from classical and quantum mechanics and field theory. The material is presented at a level between that of a textbook and research papers making it ideal for graduate students.
In the 1950s,John Nash had proved that if you put a Riemannian manifold in a space of high enough dimensions, you can get any induced metric that you want. The Nash embedding theorem, which is one of this illustrious mathematician's ...
" "This volume is derived from a conference of younger leading practitioners around the common theme: "What is string theory?" The talks covered major current topics, both mathematical and physical, related to string theory.