A Finite-Temperature Periodic Structure in (SUPER)STRING Theory

TL;DR

This paper derives an explicit analytic continuation of the superstring one-loop free energy beyond the Hagedorn temperature and uncovers a periodic structure in superstring thermodynamics, offering new insights into string thermal behavior.

Contribution

It introduces a Laurent series approach to analyze superstring free energy and reveals a novel periodic structure in superstring thermodynamics.

Findings

Explicit analytic continuation beyond Hagedorn temperature

Discovery of a periodic structure in superstring thermodynamics

Physical interpretation of the periodic structure

Abstract

Using a Laurent series representation for the (super)string one-loop free energy, an explicit form for the analytic continuation of the Laurent series beyond the critical (Hagedorn) temperature is obtained. As an additional result, a periodic structure is found in (super)string thermodynamics. A brief physical discussion about the origin and meaning of such structure is carried out.