Abstract
An effective supergravity description of all instabilities of N_4=4 superstrings is derived. The construction is based on the N_4=4 BPS mass formula at finite temperature and uses the properties of N_4=4 gauged supergravity. It provides the boundaries of the various thermal phases in the non-perturbative moduli space. It also draws a precise picture of the dynamics in the high-temperature heterotic phase. This brief contribution summarizes results obtained in collaboration with I. Antoniadis and C. Kounnas.
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