Noncommutative gauge theories in matrix theory
1998; American Physical Society; Volume: 58; Issue: 6 Linguagem: Inglês
10.1103/physrevd.58.066003
ISSN1538-4500
Autores Tópico(s)Algebraic structures and combinatorial models
ResumoWe present a general framework for matrix theory compactified on a quotient space ${\mathbf{R}}^{n}/\ensuremath{\Gamma},$ with \ensuremath{\Gamma} a discrete group of Euclidean motions in ${\mathbf{R}}^{n}.$ The general solution to the quotient conditions gives a gauge theory on a noncommutative space. We characterize the resulting noncommutative gauge theory in terms of the twisted group algebra of \ensuremath{\Gamma} associated with a projective regular representation. Also we show how to extend our treatments to incorporate orientifolds.
Referência(s)