Matrix compactification on orientifolds

Dec, 1998
27 pages
Published in:
  • Phys.Rev.D 60 (1999) 026002
e-Print:
Report number:
  • APCTP-98-025

Citations per year

19992002200520082009150
Abstract:
Generalizing previous results for orbifolds, in this paper we describe the compactification of Matrix model on an orientifold which is a quotient space as a Yang-Mills theory living on a quantum space. The information of the compactification is encoded in the action of the discrete symmetry group G on Euclidean space and a projective representation U of G. The choice of Hilbert space on which the algebra of U is realized as an operator algebra corresponds to the choice of a physical background for the compactification. All these data are summarized in the spectral triple of the quantum space.
Note:
  • 28 pages, latex
  • matrix model
  • compactification
  • orientifold
  • quantum space
  • moduli space
  • geometry: noncommutative
  • cohomology
  • Hilbert space
  • invariance: gauge
  • algebra: representation