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Dilaton Destabilization at High Temperature

Wilfried Buchmuller·Koichi Hamaguchi·Oleg Lebedev·Michael Ratz
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Abstract

Many compactifications of higher-dimensional supersymmetric theories have approximate vacuum degeneracy. The associated moduli fields are stabilized by non-perturbative effects which break supersymmetry. We show that at finite temperature the effective potential of the dilaton acquires a negative linear term. This destabilizes all moduli fields at sufficiently high temperature. We compute the corresponding critical temperature which is determined by the scale of supersymmetry breaking, the beta-function associated with gaugino condensation and the curvature of the K"ahler potential, T_crit ~ (m_3/2 M_P)^(1/2) (3/β)^(3/4) (K'')^(-1/4). For realistic models we find T_crit ~ 10^11-10^12 GeV, which provides an upper bound on the temperature of the early universe. In contrast to other cosmological constraints, this upper bound cannot be circumvented by late-time entropy production.

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Wilfried Buchmuller, Koichi Hamaguchi, Oleg Lebedev, Michael Ratz. 2004-04-22. Dilaton Destabilization at High Temperature. https://doi.org/10.1016/j.nuclphysb.2004.08.031

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