Absorption of dilaton partial waves by D3-branes

TL;DR

This paper calculates the low-energy absorption cross section of dilaton partial waves by D3-branes, matching semiclassical results and identifying precise operators on the brane world-volume, supporting non-renormalization theorems.

Contribution

It provides a detailed computation linking dilaton absorption to specific operators in D3-brane gauge theory, confirming the gauge/gravity correspondence for all partial waves.

Findings

Exact match with semiclassical absorption cross section.

Identification of operators with symmetrized trace structure.

Evidence supporting non-renormalization theorems in ${ m f N}=4$ gauge theory.

Abstract

We calculate the leading term in the low-energy absorption cross section for an arbitrary partial wave of the dilaton field by a stack of many coincident D3-branes. We find that it precisely reproduces the semiclassical absorption cross section of a 3-brane geometry, including all numerical factors. The crucial ingredient in making the correspondence is the identification of the precise operators on the D3-brane world-volume which couple to the dilaton field and all its derivatives. The needed operators are related through T-duality and the IIA/M-theory correspondence to the recently determined M(atrix) theory expressions for multipole moments of the 11D supercurrent. These operators have a characteristic symmetrized trace structure which plays a key combinatorial role in the analysis for the higher partial waves. The results presented here give new evidence for an infinite family of non-renormalization theorems which are believed to exist for two-point functions in ${\cal N} = 4$ gauge theory in four dimensions.