Intersecting D3-D3' system at finite temperature

TL;DR

This paper studies the thermodynamics and stability of intersecting D3/D3' brane systems at finite temperature using holographic methods, revealing previously unnoticed runaway behavior and systematic resolution of instabilities.

Contribution

It provides a detailed holographic analysis of the D3/D3' system's thermodynamics, stability, and introduces a method to resolve instabilities based on convexity principles.

Findings

Identified a previously unnoticed runaway behavior in the system.

Developed a systematic procedure to resolve local instabilities.

Derived the thermodynamic equation of state from embedding solutions.

Abstract

We analyze the dynamics of intersecting D3/D3' brane system overlapping in 1+1 dimensions, in a holographic treatment where $N$ D3-branes are manifested as anti-de-Sitter Schwartzschild geometry, and the D3'-brane is treated as a probe. We extract the thermodynamic equation of state from the set of embedding solutions, and analyze the stability at the perturbative and the non-perturbative level. We review a systematic procedure to resolve local instabilities and multi-valuedness in the equations of state based on classic ideas of convexity in microcanonical ensumble. We then identify a run-away behavior which was not noticed previously for this system.