Type IIB Matrix Theory at Two Loops

TL;DR

This paper demonstrates that the two-loop effective potential in the IKKT matrix model remains unrenormalized, supporting its role as a non-perturbative formulation of type IIB superstring theory.

Contribution

It provides a two-loop calculation showing the non-renormalization of the one-loop effective potential in the IKKT matrix model, confirming its consistency with supergravity predictions.

Findings

Two-loop effective potential is not renormalized.

Supports the IKKT model as a valid non-perturbative string theory formulation.

Aligns matrix model results with supergravity expectations.

Abstract

The IKKT matrix model was proposed to be a non-perturbative formulation of type IIB superstring theory. One of its important consistency criteria is that the leading one-loop $1/r^8$ effective interaction between a cluster of type IIB D-objects should not receive any corrections from higher loop effects for it to describe accurately the type IIB supergravity results. In analogy with the BFSS matrix model {\it versus} the eleven-dimensional supergravity example, we show in this work that the one-loop effective potential in the IKKT matrix model is also not renormalized at the two-loop order.