Path integral formulation of noncommutative superspace in IKKT matrix model

TL;DR

This paper introduces a new fermionic solution in the IKKT matrix model, extending the configuration space to supernumbers and linking it to Seiberg's noncommutative superspace, with implications for understanding noncommutative geometry in string theory.

Contribution

It presents a novel fermionic solution for the IKKT matrix model with an extended supernumbers space, connecting it to noncommutative superspace concepts.

Findings

Noncommutative parameter is an ordinary number, not bi-grassmann.

Established a connection between Seiberg's noncommutative superspace and the IKKT model solution.

Extended the configuration space to supernumbers in the matrix model.

Abstract

We propose a physical interpretation of our novel fermionic solution for the IKKT matrix model which obtained in our previous paper hep-th/0307236. We extend the configuration space of bosonic field to supernumbers space and obtain the noncommutative parameter which is not bi-grassmann but an ordinary number. This establishes the connection between Seiberg's noncommutative superspace and our solution of the IKKT matrix model.