Correspondence Principle for Black Holes in Plane Waves

TL;DR

This paper examines the entropy-energy relationship of strings and black strings in plane wave backgrounds, confirming the correspondence principle's validity across different flux conditions.

Contribution

It demonstrates that the correspondence principle holds for black strings in plane wave backgrounds with both NSNS and RR fluxes, despite modifications in entropy and crossover scales.

Findings

The correspondence principle remains valid with NSNS flux.

The correspondence principle remains valid with RR flux.

Entropy and crossover scales are affected by flux type.

Abstract

We compare the entropy as a function of energy of excited strings and black strings in an asymptotically plane wave background at the level of the correspondence principle. For the plane wave supported by the NSNS 3-form flux, neither the entropy formula nor the cross-over scale is affected by the presence of the flux and the correspondence is found to hold. For the plane wave supported by the RR 3-form flux, both the entropy and the cross-over point are modified, but the correspondence is still found to hold.