Vertex operators of Type IIB matrix model via calculation of disk amplitudes

TL;DR

This paper derives vertex operators for the IIB matrix model's supergravity multiplet using disk amplitude calculations, confirming their structure through conformal field theory techniques and consistency with supersymmetry.

Contribution

It provides a first-principles derivation of IIB matrix model vertex operators via disk amplitude calculations, expanding understanding of their structure and couplings.

Findings

Vertex operators derived from disk amplitudes match previous supersymmetry-based results.

Couplings involve both bosonic and fermionic open strings.

Results confirm the structure of IIB matrix model vertex operators.

Abstract

We investigate the vertex operators of the supergravity multiplet in IIB(IKKT) matrix model by calculating the disk amplitudes, exploiting the technique of conformal field theory. The vertex operators of IIB matrix model are given as the coupling of a closed string and open strings which are introduced by the existence of D(-1)-branes. We consider the most generic couplings which involve both the bosonic and fermionic open strings. Our results are consistent with the previous results based on supersymmetry. We thus confirm the structure of the IIB matrix model vertex operators from the first principle.