Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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1999-02-03

Nucl.Phys. B551 (1999) 41-77

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, LATEX file, no figures

Scientific paper

10.1016/S0550-3213(99)00171-6

We derive a universal thermal effective potential, which describes all possible high-temperature instabilities of the known N=4 superstrings, using the properties of gauged N=4 supergravity. These instabilities are due to three non-perturbative thermal dyonic modes, which become tachyonic in a region of the thermal moduli space. The latter is described by three moduli, s,t,u, which are common to all non-perturbative dual-equivalent strings with N=4 supersymmetry in five dimensions: the heterotic on T^4xS^1, the type IIA on K3xS^1, the type IIB on K3xS^1 and the type I on T^4x S^1. The non-perturbative instabilities are analysed. These strings undergo a high-temperature transition to a new phase in which five-branes condense. This phase is described in detail, using both the effective supergravity and non-critical string theory in six dimensions. In the new phase, supersymmetry is perturbatively restored but broken at the non-perturbative level. In the infinite-temperature limit the theory is topological with an N=2 supersymmetry based on a topologically non-trivial hyper-Kahler manifold.

**Antoniadis Ignatios**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Derendinger Jean-Pierre**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Kounnas Costas**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

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