Maximal Temperature in Flux Compactifications

Abstract

Thermal corrections have an important effect on moduli stabilization leading to the existence of a maximal temperature, beyond which the compact dimensions decompactify. In this note, we discuss generality of our earlier analysis and apply it to the case of flux compactifications. The maximal temperature is again found to be controlled by the supersymmetry breaking scale, T_{crit} \sim \sqrt{m_{3/2} M_P}.

Figures (4)

• Figure 1: Examples of two--loop diagrams contributing to the effective potential. Wavy lines represent gauge fields, while matter fields are indicated by solid and dashed lines.
• Figure 2: Typical supergravity potential for the modulus $\Phi$. The local minimum is separated from the 'run--away' one by a barrier related to SUSY breaking.
• Figure 3: Moduli destabilization by temperature corrections. (a) supergravity potential, (b) potential induced by thermal corrections, (c) evolution of the full potential with increasing temperature: $T<T_\mathrm{crit}$ (dash-dotted curve), $T=T_\mathrm{crit}$ (solid curve), and $T>T_\mathrm{crit}$ (dashed curve).
• Figure 4: The KKLT potential.