Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Ho, Pei-Ming; Wu, Yi-Yen |
Title |
Towards a noncommutative geometric approach to matrix compactification |
Date |
1998-07 |
Description |
In this paper we study generic M(atrix) theory compactifications that are specified by a set of quotient conditions. A procedure is proposed which both associates an algebra to each compactification and leads deductively to general solutions for the matrix variables. The notion of noncommutative geometry on the dual space is central to this construction. As examples we apply this procedure to various orbifolds and orientifolds, including ALE spaces and quotients of tori. While the old solutions are derived in a uniform way, new solutions are obtained in several cases. Our study also leads to a new formulation of gauge theory on quantum spaces. |
Type |
Text |
Publisher |
American Physical Society |
Journal Title |
Physical Review D |
Volume |
58 |
Issue |
2 |
DOI |
10.1103/PhysRevD.58.026006 |
citatation_issn |
0556-2821 |
Subject |
Matrix theory; Compactification; Noncommutativity; Orbifolds; Orientifolds; Spacetime; Klein bottle; Gauge theory; Torus |
Subject LCSH |
Matrices; Gauge fields (Physics); Space and time; Yang-Mills theory; Quantum theory; Mathematical physics |
Language |
eng |
Bibliographic Citation |
Ho, P.-M., Wu, Y.-Y., & Wu, Y.-S. (1998). Towards a noncommutative geometric approach to matrix compactification. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(2), 026006. |
Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevD.58.026006 |
Format Medium |
application/pdf |
Format Extent |
230,596 bytes |
Identifier |
ir-main,9449 |
ARK |
ark:/87278/s61v5z8h |
Setname |
ir_uspace |
ID |
703976 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s61v5z8h |