Conformal Symmetry in Matrix Model beyond the Eikonal Approximation

TL;DR

This paper extends the analysis of conformal symmetry in matrix models beyond the eikonal approximation by performing a 1-loop calculation in D=1 SYM, confirming previous theoretical claims.

Contribution

It provides the first 1-loop calculation beyond the eikonal approximation in D=1 SYM to verify conformal symmetry properties.

Findings

Confirmed conformal symmetry in D=1 SYM beyond eikonal approximation

Validated previous theoretical predictions about SYM and D-brane geometry

Enhanced understanding of symmetry structures in matrix models

Abstract

Recently, it was shown by Jevicki, Kazama and Yoneya (JKY) that the Super-Yang-Mills theories (SYM) in $D\leq 4$ can reproduce the conformal symmetry of the near-horizon geometry of the D-brane solutions. However, the eikonal approximation they used is not sufficient for analyzing the conformal symmetry in SYM. We carry out the 1-loop calculation beyond the eikonal approximation for D=1 SYM (i.e., Matrix model) to confirm the claim of JKY.