Orientifolds of Matrix theory and Noncommutative Geometry

Details Orientifolds of Matrix theory and Noncommutative Geometry Orientifolds of Matrix theory and Noncommutative Geometry

1999-01-04

arxiv.org/abs/hep-th/9901008v2

Phys.Rev.D59:126001,1999

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, minor corrections, two references added, discussions slightly expanded, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.126001

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.

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