SpaceTime and Matter in the IIB Matrix Model  Gauge Symmetry and Diffeomorphism
Abstract
We pursue a study of the typeIIB matrix model as a constructive definition of a superstring. In this paper, we justify the interpretation of spacetime as being a distribution of eigenvalues of matrices by showing that some lowenergy excitations indeed propagate in it. In particular, we show that if the distribution consists of small clusters of size n, lowenergy 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 lowenergy effective theory, even though we do not have a manifest general covariance in the IIB matrix model action.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2000
 DOI:
 10.1142/S0217751X0000032X
 arXiv:
 arXiv:hepth/9903217
 Bibcode:
 2000IJMPA..15..651I
 Keywords:

 High Energy Physics  Theory
 EPrint:
 25 pages