USp(2k) Matrix Model

TL;DR

The USp(2k) matrix model offers a constructive framework for Type I superstrings and a dynamical theory of spacetime points, exploring vacua, extended objects, and interaction equations.

Contribution

This paper reviews the USp(2k) matrix model's construction, its implications for superstring theory, and introduces new insights into vacua, D-object formation, and interaction dynamics.

Findings

Model provides a constructive approach to Type I superstrings.

Demonstrates formation of D-objects via fermionic integrations.

Derives Schwinger-Dyson/loop equations with joining-splitting interactions.

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).