Scalar Absorption by Noncommutative D3-branes

TL;DR

This paper calculates the low energy scalar absorption cross section for noncommutative D3-branes and finds agreement with ordinary D3-branes below the noncommutativity scale, supporting the equivalence of the theories in that regime.

Contribution

It provides the first calculation of scalar absorption for noncommutative D3-branes and compares it to the commutative case within the AdS/CFT framework.

Findings

Absorption cross section matches that of ordinary D3-branes below the noncommutativity scale.

Supports the equivalence of noncommutative and ordinary Yang-Mills theories at low energies.

Predicts differences above the noncommutativity scale.

Abstract

The classical cross section for low energy absorption of the RR-scalar by a stack of noncommutative D3-branes in the large NS B-field limit is calculated. In the spirit of AdS/CFT correspondence, this cross section is related to two point function of a certain operator in noncommutative Yang-Mills theory. Compared at the same gauge coupling, the result agrees with that of obtained from ordinary D3-branes. This is consistent with the expectation that ordinary and noncommutative Yang-Mills theories are equivalent below the noncommutativity scale, but it is a nontrivial prediction above this scale.