Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes

TL;DR

This paper investigates the thermodynamics of near-horizon NS5-branes, showing that string corrections align with the expected Hagedorn behavior of little string theory, supporting the duality conjecture.

Contribution

It demonstrates that one-loop string corrections reproduce the Hagedorn temperature dependence of entropy, confirming the duality between NS5-branes and little string theory.

Findings

Tree-level temperature corrections vanish, consistent with duality.

One-loop corrections produce the correct entropy-temperature relation.

Results support the Hagedorn behavior in little string theory.

Abstract

Following the conjectured duality between near-horizon NS5-branes and little string theory, the string-corrected thermodynamics of near-horizon NS5-branes is studied and found to agree with the statistical thermodynamics of a 5+1 dimensional supersymmetric string theory near the Hagedorn temperature. Specifically, tree-level corrections to the temperature are argued to vanish, in accordance with the duality, while the one-loop string correction to the NS5-brane thermodynamics is shown to generate the correct temperature dependence of the entropy.