Universality or Non--Universality of Absorption Cross Sections for Extended Objects

TL;DR

This paper investigates whether absorption cross sections for extended objects in supergravity backgrounds are universal or depend on specific parameters, finding universality at low energies but energy-dependent behavior at high energies.

Contribution

It demonstrates the universality of low energy absorption cross sections and explores the energy dependence of high energy cross sections in supergravity backgrounds.

Findings

Low energy cross sections are independent of the matching point.

High energy cross sections depend on energy but maintain correct energy dependence.

Universality holds only in the low energy limit.

Abstract

The calculation of absorption cross sections for minimal scalars in supergravity backgrounds is an important aspect of the investigation of AdS/CFT correspondence and requires a matching of appropriate wave functions. The low energy case has attracted particular attention. In the following the dependence of the cross section on the matching point is investigated. It is shown that the low energy limit is independent of the matching point and hence exhibits universality. In the high energy limit the independence is not maintained, but the result is believed to possess the correct energy dependence.