USp(2k) Matrix Model

Details USp(2k) Matrix Model USp(2k) Matrix Model

1999-04-03

arxiv.org/abs/hep-th/9904018v1

Prog.Theor.Phys.Suppl.134:18-46,1999

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, Latex with PTPTex.sty, 16 epsf figures

Scientific paper

10.1143/PTPS.134.18

We review the construction and theoretical implications of the USp(2k) matrix model in zero dimension introduced in ref. \cite{IT1,IT2}. It is argued that the model provides a constructive approach to Type I superstrings and is at the same time dynamical theory of spacetime points. Three subjects are discussed : semiclassical pictures and series of degenerate perturbative vacua associated with the worldvolume representation of the model, the formation of extended (D-)objects from the fermionic integrations via the (non-)abelian Berry phase, and the Schwinger-Dyson/loop equations which exhibit the joining-splitting interactions required. Lectures presented at the 13th Nishinomiya-Yukawa Memorial Symposium ``Dynamics of Fields and Strings'' (November 12-13,1998) and at the YITP workshop (November 16-18, 1998).

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