How Noncommutative Gauge Theories Couple to Gravity

TL;DR

This paper investigates how noncommutative gauge theories on branes interact with bulk gravity, deriving dual operators for gravitons and clarifying gauge/gravity correspondence nuances.

Contribution

It provides new expressions for gauge theory operators dual to bulk gravitons in noncommutative settings, refining understanding of gauge/gravity duality.

Findings

Coupling differs from previous expectations in noncommutative directions.

Derived gauge theory operator expressions match superstring theory predictions.

Clarified the gauge/gravity operator correspondence in noncommutative contexts.

Abstract

We study coupling of noncommutative gauge theories on branes to closed string in the bulk. We derive an expression for the gauge theory operator dual to the bulk graviton, both in bosonic string theory and superstring theory. In either case, we find that the coupling is different from what was expected in the literature when the graviton is polarized in the noncommutative directions. In the case of superstring, the expression for the energy-momentum tensor is consistent with the way the bulk metric appears in the action for the noncommutative gauge theory. We also clarify some aspects of the correspondence between operators in the gauge theory and boundary conditions in the dual gravitational description.