Noncommutative geometry and Matrix theory
Abstract
We study toroidal compactification of Matrix theory, using ideas and results of noncommutative 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 threeform tensor field. The paper includes an introduction for mathematicians to the IKKT formulation of Matrix theory and its relation to the BFSS Matrix theory.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 1998
 DOI:
 10.1088/11266708/1998/02/003
 arXiv:
 arXiv:hepth/9711162
 Bibcode:
 1998JHEP...02..003C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 harvmac, 41 pp. A slightly simpler BPS mass formula is proposed