Fields, Strings, Matrices and Symmetric Products

Abstract

In these notes we review the role played by the quantum mechanics and sigma models of symmetric product spaces in the light-cone quantization of quantum field theories, string theory and matrix theory. Lectures given at the Institute for Theoretical Physics, UC Santa Barbara, January 1998 and the Spring School on String Theory and Mathematics, Harvard University, May 1998.

latex, 52 pages, one eps figure

References in corpus (3)

• Matrix String Theory
• Why is the Matrix Model Correct?
• Review of Matrix Theory

Cited by in corpus (8)

• Quantizing N=2 Multicenter Solutions
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Phase transitions in symmetric orbifold CFTs and universality
• Unravelling Mathieu Moonshine
• Permutation Orbifolds in the large N Limit
• D-branes and Azumaya noncommutative geometry: From Polchinski to Grothendieck
• D-branes and Azumaya/matrix noncommutative differential geometry, I: D-branes as fundamental objects in string theory and differentiable maps from Azumaya/matrix manifolds with a fundamental module to real manifolds
• Little Strings, Quasi-topological Sigma Model on Loop Group, and Toroidal Lie Algebras