Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories

TL;DR

This paper derives the energy-momentum tensor in Matrix Theory using disk amplitude calculations and clarifies its relation to the noncommutative gauge theory tensor, enhancing understanding of their connection.

Contribution

It provides a detailed derivation of the energy-momentum tensor in Matrix Theory and links it explicitly to the noncommutative gauge theory framework.

Findings

Derived the energy-momentum tensor in Matrix Theory.

Established the relation to noncommutative gauge theory tensor.

Clarified the physical implications of the connection.

Abstract

The energy-momentum tensor of Matrix Theory is derived by computing disk amplitudes with one closed string and an arbitrary number of open strings and by taking the DKPS limit. We clarify its relation to the energy-momentum tensor of the noncommutative gauge theory derived in our previous paper.