Twisted Bundle On Quantum Torus and BPS States in Matrix Theory
High Energy Physics - Theory
2010-11-19 v2
Abstract
Following the recent work of Connes, Douglas and Schwarz, we study the M(atrix) model compactified on a torus with a background of the three-form field. This model is given by a super Yang-Mills theory on a quantum torus. To consider twisted gauge field configurations, we construct twisted U(n) bundles on the quantum torus as a deformation of its classical counterpart. By properly taking into account membranes winding around the light-cone direction, we derive from the M(atrix) model the BPS spectrum which respects the full SL(2,Z)*SL(2,Z) U-duality in M theory.
Cite
@article{arxiv.hep-th/9803166,
title = {Twisted Bundle On Quantum Torus and BPS States in Matrix Theory},
author = {Pei-Ming Ho},
journal= {arXiv preprint arXiv:hep-th/9803166},
year = {2010}
}
Comments
14 pages, no figure. minor modification made