%0 Journal Article %T Fields, Strings, Matrices and Symmetric Products %A R. Dijkgraaf %J Physics %D 1999 %I arXiv %X 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. %U http://arxiv.org/abs/hep-th/9912104v1