Closed Strings Interacting with Noncommutative D-branes

TL;DR

This paper explores how closed strings interact with noncommutative D-branes, revealing modifications in scattering amplitudes and space-time geometries consistent with noncommutative Yang-Mills theories.

Contribution

It provides explicit calculations of closed string scattering amplitudes and demonstrates their consistency with dual noncommutative space-time geometries.

Findings

Bulk two-point scattering amplitudes match noncommutative geometry predictions.

Three-point amplitudes show modified pole structures and phase factors.

Results support the duality between noncommutative D-branes and noncommutative Yang-Mills theories.

Abstract

Closed string dynamics in the presence of noncommutative Dp-branes is investigated. In particular, we compute bulk closed string two-point scattering amplitudes; the bulk space-time geometries encoded in the amplitudes are shown to be consistent with the recently proposed background space-time geometries dual to noncommutative Yang-Mills theories. Three-point closed string absorption/emission amplitudes are obtained to show some features of noncommutative Dp-branes, such as modified pole structures and exponential phase factors linearly proportional to the external closed string momentum.