Absorption of a Quantum in a D1/D5 System

TL;DR

This paper investigates higher order corrections to the probability of a quantum entering the throat of a D1-D5 system with angular momentum, enhancing the understanding of the dual CFT correspondence and the geometry's cap effects.

Contribution

It identifies higher order corrections in the wave equation analysis, providing insights for refining the dual CFT to include capped geometries.

Findings

Higher order corrections in the parameter b3 were found.

Results aid in refining the dual CFT for capped geometries.

Agreement with leading order results was confirmed at first order.

Abstract

In {\em Nucl. Phys.} B {\bf 615}, 285 (2001) [arXiv:hep-th/0107113], the wave equation for a minimally coupled scalar was studied in the geometry of a D1-D5 system with non-zero angular momentum. The probability for a quantum to enter the throat was computed by taking small a parameter $\g$ which is associated with the value of the angular momentum. In the leading order in $\g$, the result was found to agree with the dual CFT result. In this note, we report on an observation that there are corrections of higher order in $\g$. Our results should be useful for determining the higher order correction terms that the dual CFT needs in order to incorporate the presence of the `capped' geometry.