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SPACE–TIME AND MATTER IN THE IIB MATRIX MODEL — GAUGE SYMMETRY AND DIFFEOMORPHISM

1999/03/25 by S. Iso, SATOSHI ISO, H. Kawai +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Covariance #Diffeomorphism #Gauge (firearms) #Gauge anomaly #Gauge boson #Gauge symmetry #Gauge theory #General covariance #Interpretation (philosophy) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Symmetry (geometry) #hep-th

paper · pdf · doi:10.1142/s0217751x0000032x

published as Int.J.Mod.Phys.A15:651-666,2000 · 25 pages

arxiv created 1999/03/25 · openalex publication_date 2000/02/20 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

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