Supersymmetric phases of finite-temperature strings II

TL;DR

This paper explores stable supersymmetric phases at finite temperature in string theories, extending previous work by analyzing BPS solutions with unequal winding modes and revealing new features in various string models.

Contribution

It extends the analysis of supersymmetric phases in finite-temperature string theories by constructing the most general 1/2-BPS solutions and examining their properties across different string models.

Findings

Existence of stable supersymmetric phases without Hagedorn instabilities.

Construction of the most general 1/2-BPS solutions for type-II theories.

Identification of new features in various consistent truncations.

Abstract

It was recently proposed that there exist stable supersymmetric phases for finite temperature superstings. This issue was investigated using an effective supergravity which takes into account massive winding modes. Such a theory admits BPS solutions that do not suffer from Hagedorn-type instabilities. We extend several aspects of this work. First we restrict to the real-field sector of the theory and allow, in general, for unequal right and left winding fields. Then, by further specializing to type-II theories (IIA, IIB and a self-dual hybrid) we construct the most general 1/2-BPS solution and reveal several new features arising in various consistent truncations. In the heterotic case we investigate the general properties of the solution which is presented in a closed form in the limit of infinitely large left-winding field.