Supersymmetric quantum theory, non-commutative geometry, and gravitation. Lecture Notes Les Houches 1995
High Energy Physics - Theory
2007-05-23 v1
Abstract
This is an expanded version of the notes to a course taught by the first author at the 1995 Les Houches Summer School. Constraints on a tentative reconciliation of quantum theory and general relativity are reviewed. It is explained what supersymmetric quantum theory teaches us about differential topology and geometry. Non-commutative differential topology and geometry are developed in some detail. As an example, the non-commutative torus is studied. An introduction to string theory and (atrix) models is provided, and it is outlined how tools of non-commutative geometry can be used to explore the geometry of string theory and conformal field theory.
Keywords
Cite
@article{arxiv.hep-th/9706132,
title = {Supersymmetric quantum theory, non-commutative geometry, and gravitation. Lecture Notes Les Houches 1995},
author = {J. Froehlich and O. Grandjean and A. Recknagel},
journal= {arXiv preprint arXiv:hep-th/9706132},
year = {2007}
}
Comments
143 pages, LaTeX file + 3 eps-figures