Supermatrix models and multi ZZ-brane partition functions in minimal superstring theories

TL;DR

This paper explores minimal superstring theories, providing explicit solutions to constraints using charged D-instanton operators, and models multi ZZ-brane systems with supermatrix models as open string field theories.

Contribution

It introduces a supermatrix model description for multi ZZ-brane systems in minimal superstring theories, solving W_{1+ abla} constraints explicitly.

Findings

Supermatrix models describe (m,n)-instanton sectors with charged ZZ-branes.

Explicit solutions to W_{1+ abla} constraints are constructed.

Supermatrix models serve as open string field theories for multi ZZ-brane configurations.

Abstract

We study (p,q)=(2,4k) minimal superstrings within the minimal superstring field theory constructed in hep-th/0611045. We explicitly give a solution to the W_{1+\infty} constraints by using charged D-instanton operators, and show that the (m,n)-instanton sector with m positive-charged and n negative-charged ZZ-branes is described by an (m+n)\times (m+n) supermatrix model. We argue that the supermatrix model can be regarded as an open string field theory on the multi ZZ-brane system.