Scalar Absorption and the Breaking of the World Volume Conformal Invariance

TL;DR

This paper explores how scalar absorption cross-sections are affected by conformal invariance breaking in brane world-volumes, linking supergravity calculations with Yang-Mills theory corrections.

Contribution

It introduces a method to compute scalar absorption cross-sections considering conformal invariance breaking due to Born-Infeld corrections, providing a new link between supergravity and gauge theory.

Findings

Derived a cross-section formula incorporating conformal invariance breaking effects.

Identified the leading correction to minimal scalar cross-sections from world-volume operators.

Matched supergravity solutions to gauge theory corrections for improved accuracy.

Abstract

We investigate a version of fixed scalars for non-dilatonic branes which correspond to dilatations of the brane world-volume. We obtain a cross-section whose world-volume interpretation falls out naturally from an investigation of the breaking of conformal invariance by the irrelevant Born-Infeld corrections to Yang-Mills theory. From the same irrelevant world-volume operator we obtain the leading correction to the cross-sections of minimal scalars. This correction can be obtained in supergravity via an improved matching of inner and outer solutions to the minimal wave equation.