Vertex Operators in IIB Matrix Model

TL;DR

This paper constructs and analyzes vertex operators in the IIB matrix model using Wilson lines, demonstrating their symmetry properties and invariance under local supersymmetry transformations.

Contribution

It introduces a method to derive vertex operators via Wilson lines and explores their supersymmetry invariance within the IIB matrix model framework.

Findings

Vertex operators can be constructed through Wilson lines in the IIB matrix model.

Correlation functions of these operators exhibit supersymmetry invariance.

The structure of Wilson lines is constrained by $ abla$=2 SUSY requirements.

Abstract

The vertex operators for the supergravity multiplet can be constructed through the Wilson lines in IIB matrix model. We investigate the structure of the vertex operators and the symmetry of their correlation functions. For this purpose, we perturb the theory by the Wilson lines dual to the supergravity multiplet. The structure of the Wilson lines can be determined by requiring $\cal{N}$=2 SUSY under the low energy approximation. We argue that the generating functional of the correlators is invariant under local SUSY transformations of IIB supergravity.