D-instantons and Matrix Models

TL;DR

This paper explores the relationship between D-instantons and Matrix Models, focusing on configurations with fixed fermionic zero modes, and establishes a connection with supergravity calculations through Abelian modes.

Contribution

It introduces a large-N_c limit for D-instantons in Matrix Models and links matrix variables to supergravity results via Abelian modes.

Findings

Fixed fermionic zero modes are independent of gauge group rank and instanton number.

A large-N_c limit for D-instantons in Matrix Models is defined.

Connection between Matrix Model and supergravity approaches is established through Abelian modes.

Abstract

We discuss the Matrix Model aspect of configurations saturating a fixed number of fermionic zero modes. This number is independent of the rank of the gauge group and the instanton number. This will allow us to define a large-$N_c$ limit of the embeddeding of $K$ D-instantons in the Matrix Model and make contact with the leading term (the measure factor) of the supergravity computations of D-instanton effects. We show that the connection between these two approaches is done through the Abelian modes of the Matrix variables.