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We consider phase transitions occurring in four-dimensional heteroticorbifold models, when the scale of spontaneous breaking of N=1 supersymmetry isof the order of the string scale. The super-Higgs mechanism is implemented byimposing distinct boundary conditions for bosons and fermions along an internalcircle of radius R. Depending on the orbifold action, the usual scalarsbecoming tachyonic when R falls below the Hagedorn radius may or may not beprojected out of the spectrum. In all cases, infinitely many other scalars,which are pure Kaluza-Klein or pure winding states along other internaldirections, become tachyonic in subregions in moduli space. We derive theoff-shell tree level effective potential that takes into account thesepotentially tachyonic modes. We show that when a combination of the usualtachyons survives the orbifold action, it is the only degree of freedom thatactually condenses.

Hagedorn-like transition at high supersymmetry breaking scale