Orientifolds of Matrix theory and Noncommutative Geometry
arXiv:hep-th/9901008 · doi:10.1103/PhysRevD.59.126001
Abstract
We study explicit solutions for orientifolds of Matrix theory compactified on noncommutative torus. As quotients of torus, cylinder, Klein bottle and Möbius 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.
17 pages, LaTeX, minor corrections, two references added, discussions slightly expanded, to appear in Phys. Rev. D
References in corpus (14)
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- D-branes and the Noncommutative Torus
- Noncommutative Geometry From Strings and Branes
- Morita equivalence and duality
- Noncommutative Geometry from D0-branes in a Background B-field
- Noncommutative Gauge Theories in Matrix Theory
- Twisted Bundle On Quantum Torus and BPS States in Matrix Theory
- Towards a Noncommutative Geometric Approach to Matrix Compactification
- U-Duality of Born-Infeld on the Noncommutative Two-Torus
- Matrix Theory on Noncommutative Torus
- Algebraic treatment of compactification on noncommutative tori
- A Note on the BPS Spectrum of the Matrix Model
- Zero-Branes on a Compact Orbifold
- Matrix Theory on Non-Orientable Surfaces