Noncommutative Geometry and Matrix Theory: Compactification on Tori
High Energy Physics - Theory
2010-11-19 v2
Abstract
We study toroidal compactification of Matrix theory, using ideas and results of non-commutative geometry. We generalize this to compactification on the noncommutative torus, explain the classification of these backgrounds, and argue that they correspond in supergravity to tori with constant background three-form tensor field. The paper includes an introduction for mathematicians to the IKKT formulation of Matrix theory and its relation to the BFSS Matrix theory.
Keywords
Cite
@article{arxiv.hep-th/9711162,
title = {Noncommutative Geometry and Matrix Theory: Compactification on Tori},
author = {Alain Connes and Michael R. Douglas and Albert Schwarz},
journal= {arXiv preprint arXiv:hep-th/9711162},
year = {2010}
}
Comments
harvmac, 41 pp. A slightly simpler BPS mass formula is proposed