Interactions Between Branes and Matrix Theories

TL;DR

This paper reviews tests of matrix models involving branes by comparing interaction potentials in supergravity and super Yang-Mills theories, focusing on leading and subleading terms and their implications for effective actions.

Contribution

It provides a detailed comparison of interaction potentials between branes in supergravity and super Yang-Mills theories, including new insights into subleading terms and effective action structure.

Findings

Leading interaction potential matches between supergravity and SYM.

Subleading terms reveal structure of 2-loop F^6 contributions.

Implications for supersymmetry breaking effects in brane interactions.

Abstract

We review some tests of the 0-brane and instanton matrix models based on comparing long-distance interaction potentials between branes and their bound states (with 1/2,1/4 or 1/8 of supersymmetry) in supergravity and in super Yang-Mills descriptions. We first consider the supergravity-SYM correspondence at the level of the leading term in the interaction potential, and then describe some recent results concerning the subleading term and their implications for the structure of the 2-loop F^6 term in the SYM effective action.