Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4

TL;DR

This paper extends the hybrid-NLIE approach to numerically analyze the ground state of a D-brane anti-D-brane system in AdS/CFT, confirming previous TBA results and exploring the special L=1 case.

Contribution

It introduces finite component hybrid-NLIE equations for the system and develops new numerical methods to solve them, enabling detailed numerical study.

Findings

Numerical data confirms previous TBA results.

New numerical methods successfully solve the hybrid-NLIE equations.

Comments on the special L=1 case based on numerical results.

Abstract

In this paper the hybrid-NLIE approach of [38] is extended to the ground state of a D-brane anti-D-brane system in AdS/CFT. The hybrid-NLIE equations presented in the paper are finite component alternatives of the previously proposed TBA equations and they admit an appropriate framework for the numerical investigation of the ground state of the problem. Straightforward numerical iterative methods fail to converge, thus new numerical methods are worked out to solve the equations. Our numerical data confirm the previous TBA data. In view of the numerical results the mysterious L = 1 case is also commented in the paper.