Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model

TL;DR

This paper advances the understanding of vertex operators in the IIB matrix model by deriving explicit forms for massless supergravity field emissions up to sixth order, including new conjugate operators, and verifies consistency with supergravity amplitudes.

Contribution

The paper provides the complete explicit forms of vertex operators for the IIB matrix model up to sixth order, including newly determined conjugate gravitino and two-form operators.

Findings

Derived explicit vertex operators up to sixth order.

Included new conjugate gravitino and two-form operators.

Confirmed consistency with supergravity amplitude calculations.

Abstract

We report on progress in determining the complete form of vertex operators for the IIB matrix model. The exact expressions are obtained for those emitting massless IIB supergravity fields up to sixth order in the light-cone superfield, in which the conjugate gravitino and conjugate two-form vertex operators are newly determined. We also provide a consistency check by computing the kinematical factor of a four-point graviton amplitude in a D-instanton background. We conjecture that the low-energy effective action of the IIB matrix model at large N is given by tree-level supergravity coupled to the vertex operators.