USp(2k) Matrix Model

Abstract

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).

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

Cited by in corpus (9)

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• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model
• Anomalous Interactions of Five Dimensional USp(2k) Gauge Theory
• Creation of D9-brane--anti-D9-brane Pairs from Hagedorn Transition of Closed Strings