2001/08/11 by Jun Nishimura · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.65.105012
published as Phys.Rev. D65 (2002) 105012 · REVTeX, 4 pages, no figures
arxiv created 2001/08/11 · openalex publication_date 2002/05/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In the type IIB matrix model, which was proposed as a nonperturbative formulation of type IIB superstring theory, it is possible that our four-dimensional space-time appears dynamically as a brane in ten dimensions. This in particular requires the spontaneous breakdown of SO(10) symmetry, which was conjectured to be caused by the phase of the fermion integral. We present a concrete example of exactly solvable matrix models in which this happens. The models consist of D bosonic Hermitian matrices coupled to chiral fermions, and the SO(D) symmetry is spontaneously broken precisely due to the phase of the fermion determinant.