Finite Temperature Behaviour of O'KKLT Model
Lilia Anguelova, Vincenzo Calo

TL;DR
This paper investigates the finite temperature effects on the O'Raifeartaigh uplifted KKLT model, finding that thermal corrections do not destabilize the zero temperature de Sitter vacuum within the studied parameter range.
Contribution
It provides a detailed analysis of the thermal behavior of the O'KKLT model, highlighting conditions under which the zero temperature vacuum remains stable.
Findings
Thermal corrections do not destabilize the zero temperature dS vacuum.
Runaway behavior in the effective potential depends on the superpotential exponent.
Local minima at finite field vevs can exist but do not threaten vacuum stability.
Abstract
We summarize our work on the O'Raifeartaigh uplifted KKLT model at finite temperature. We study the system for parameter values for which the zero temperature potential for the volume modulus has a dS minimum. The temperature-dependent part of the effective potential has a runaway behaviour for one exponent in the superpotential, whereas it can have local minima at finite field vevs for two exponents in the superpotential. However, it turns out that, despite the presence of those minima, the zero temperature dS vacuum is not destabilized by thermal corrections within the whole range of validity of our approximations.
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