Bulk Couplings to Noncommutative Branes

TL;DR

This paper proposes a method to identify gauge invariant operators in noncommutative gauge theories on D-branes that couple to bulk supergravity modes, verified through DBI approximation and string calculations.

Contribution

It introduces a new approach to connect noncommutative gauge operators with bulk modes using ordinary gauge theories, advancing understanding of gauge/gravity duality.

Findings

Proposal verified in the DBI approximation

Consistent with string worldsheet calculations

Implications discussed for holography

Abstract

We propose a way to identify the gauge invariant operator in noncommutative gauge theory on a D-brane with nonzero B field which couples to a specific supergravity mode in the bulk. This uses the description of noncommutative gauge theories in terms of ordinary $U(\infty)$ gauge theories in lower dimensions. The proposal is verified in the DBI approximation. Other authors have shown that the proposal is also consistent with explicit string worldsheet calculations. We comment on implications to holography.