Comments on D3-Brane Holography

TL;DR

This paper examines the thermodynamics of D3-branes and their holographic duals at strong coupling, exploring the effects of negative branes and deformations like $T\bar T$ on the theory's behavior.

Contribution

It provides new insights into D3-brane thermodynamics, including the analysis of negative branes and their well-behaved thermodynamics, and discusses connections to deformations of $\mathcal{N}=4$ SYM.

Findings

Computed the Hagedorn temperature for D3-brane theories.

Showed that negative brane configurations have well-behaved thermodynamics.

Commented on the relation to $T\bar T$ deformations of $CFT_2$.

Abstract

We revisit the idea that the quantum dynamics of open strings ending on $N$ D3-branes in the large $N$ limit can be described at large `t Hooft coupling by classical closed string theory in the background created by the D3-branes in asymptotically flat spacetime. We study the resulting thermodynamics and compute the Hagedorn temperature and other properties of the D3-brane worldvolume theory in this regime. We also consider the theory in which the D3-branes are replaced by negative branes and show that its thermodynamics is well behaved. We comment on the idea that this theory can be thought of as an irrelevant deformation of $\mathcal{N}=4$ SYM, and on its relation to $T\bar T$ deformed $CFT_2$.