Orientifolds of Matrix theory and Noncommutative Geometry
High Energy Physics - Theory
2010-11-19 v2
Abstract
We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and M\"obius strip are applicable as orientifolds. We calculate the solutions using Connes, Douglas and Schwarz's projective module solution, and investigate twisted gauge bundle on quotient spaces as well. They are Yang-Mills theory on noncommutative torus with proper boundary conditions which define the geometry of the dual space.
Cite
@article{arxiv.hep-th/9901008,
title = {Orientifolds of Matrix theory and Noncommutative Geometry},
author = {Nakwoo Kim},
journal= {arXiv preprint arXiv:hep-th/9901008},
year = {2010}
}
Comments
17 pages, LaTeX, minor corrections, two references added, discussions slightly expanded, to appear in Phys. Rev. D