Superstring vertex operators in type IIB matrix model

TL;DR

This paper establishes a connection between IIB matrix model vertex operators and superstring theory, demonstrating how superstring amplitudes can be derived from the matrix model using noncommutative backgrounds.

Contribution

It shows that superstring vertex operators can be obtained from IIB matrix model operators via noncommutative geometry, bridging the two frameworks.

Findings

Supergravity vertex operators in IIB matrix model reduce to superstring vertex operators.

Superstring scattering amplitudes can be reproduced from IIB matrix model.

Noncommutativity is crucial for the correspondence.

Abstract

We clarify the relation between the vertex operators in type IIB matrix model and superstring. Green-Schwarz light-cone closed superstring theory is obtained from IIB matrix model on two dimensional noncommutative backgrounds. Superstring vertex operators should be reproduced from those of IIB matrix model through this connection. Indeed, we confirm that supergravity vertex operators in IIB matrix model on the two dimensional backgrounds reduce to those in superstring theory. Noncommutativity plays an important role in our identification. Through this correspondence, we can reproduce superstring scattering amplitudes from IIB matrix model.