Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-25
Int.J.Mod.Phys. A15 (2000) 651-666
Physics
High Energy Physics
High Energy Physics - Theory
25 pages
Scientific paper
10.1142/S0217751X0000032X
We pursue the study of the type IIB matrix model as a constructive definition of superstring. In this paper, we justify the interpretation of space-time as distribution of eigenvalues of the 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, in addition to a gauge invariant kinetic term for a massless fermion in the adjoint representation of the SU(n). We finally argue a possible identification of the diffeomorphism symmetry with permutation group acting on the set of eigenvalues, and show that the 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.
Iso Satoshi
Kawai Hajime
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