Supergravity Couplings of Noncommutative D-branes

TL;DR

This paper investigates how noncommutative D-branes couple to supergravity fields, confirming a recent proposal and elucidating the role of open Wilson lines and nonabelian scalar fields in these interactions.

Contribution

It provides a detailed analysis of supergravity couplings for noncommutative D-branes, validating a proposed form of the coupling operators and clarifying the role of Wilson lines and scalar fields.

Findings

Confirmation of the noncommutative Yang-Mills operators' coupling form

Reduction to the symmetrized trace prescription in the B=0 limit

Supergravity fields as functionals of nonabelian scalar fields

Abstract

We discuss the supergravity couplings of noncommutative D-branes by considering the disk amplitudes with one closed string insertion. The result confirms a recent proposal for the general form of the noncommutative Yang-Mills operators coupling to the massless closed string modes. The construction involves smearing Yang-Mills field variables along an open Wilson line. For multiple D-branes interacting with background supergravity fields, this prescription reduces, in the B=0 limit, to the ``symmetrized trace'' prescription, and the supergravity fields are seen to be functionals of the nonabelian scalar fields on the branes.