Conformal Symmetry and A New Gauge in the Matrix Model

TL;DR

This paper introduces a new gauge in the Matrix model that facilitates the analysis of conformal symmetry, accurately reproducing special conformal transformations with quantum corrections.

Contribution

It proposes a novel gauge choice in the Matrix model that simplifies the study of conformal symmetry and clarifies the relation between gauge fixing and field redefinitions.

Findings

The new gauge reproduces the special conformal transformation with correct quantum corrections.

It establishes a connection between gauge choice and field redefinition in the Matrix model.

The approach aids in understanding conformal symmetry in the context of D-particle solutions.

Abstract

We generalize the background gauge in the Matrix model to propose a new gauge which is useful for discussing the conformal symmetry. In this gauge, the special conformal transformation (SCT) as the isometry of the near-horizon geometry of the D-particle solution is directly reproduced with the correct coefficient as the quantum correction to the SCT in the Matrix model. We also present a general argument for the relation between the gauge choice and the field redefinition in the Matrix model.