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- Title
Space–Time and Matter in the IIB Matrix Model — Gauge Symmetry and Diffeomorphism.
- Authors
Iso, Satoshi; Kawai, Hikaru
- Abstract
We pursue a study of the type-IIB matrix model as a constructive definition of a superstring. In this paper, we justify the interpretation of space-time as being a distribution of eigenvalues of matrices by showing that some low-energy excitations indeed propagate in it. In particular, we show that if the distribution consists of small clusters of size n, low-energy theory acquires local SU(n) gauge symmetry, and a plaquette action for the associated gauge boson is induced. We finally argue a possible identification of the diffeomorphism symmetry with a permutation group acting on the set of eigenvalues, and show that general covariance is realized in the low-energy effective theory, even though we do not have a manifest general covariance in the IIB matrix model action.
- Subjects
SPACETIME; DIFFEOMORPHISMS; PHYSICS
- Publication
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2000, Vol 15, Issue 5, p651
- ISSN
0217-751X
- Publication type
Article
- DOI
10.1142/S0217751X0000032X