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arxiv: 2605.22998 · v1 · pith:RR3A55OSnew · submitted 2026-05-21 · ✦ hep-th

Thermal effects and finite-temperature cosmology in perturbatively stabilized large volume scenarios

Vasileios Basiouris This is my paper

Pith reviewed 2026-05-25 05:29 UTC · model grok-4.3

classification ✦ hep-th
keywords large volume scenariofinite temperature effectsmoduli stabilizationde Sitter vacuainflationary cosmologyKähler potential correctionsthermal metastabilitystring landscape
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The pith

Finite-temperature effects in perturbative large volume scenarios favor high-scale inflation and make T=0 vacuum recovery sensitive to post-inflationary thermal history.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines finite-temperature dynamics of Kähler moduli in the perturbative large volume scenario. It determines a maximum decompactification temperature whose value depends on winding-loop corrections and shows that perturbative logarithmic corrections to the Kähler potential continue to stabilize the moduli. Higher-derivative F^4 terms are used to test the robustness of the resulting thermally induced vacua. Cosmological consequences include derived bounds on reheating and the preference for high-scale inflation in which the heavy modulus decays before it can dominate the energy density. Thermal metastability analysis reveals that whether the zero-temperature vacuum is recovered depends on the details of the thermal history after inflation, with possible outcomes being an AdS vacuum, a metastable phase, or a stable de Sitter configuration.

Core claim

In the perturbative Large Volume Scenario, finite-temperature effects determine a maximum decompactification temperature T_max that depends on winding-loop corrections in the effective theory. Moduli stabilization arises from perturbative logarithmic loop corrections to the Kähler potential, with higher-derivative F^4 terms used to test vacuum robustness. The model favors high scale inflationary scenarios with the heavy modulus decaying before dominating the energy density of the universe. Thermal metastability shows that recovery of the T=0 vacuum is sensitive to the post-inflationary thermal history, potentially yielding an AdS vacuum, a metastable phase, or a stable dS configuration.

What carries the argument

perturbative logarithmic loop corrections to the Kähler potential that stabilize the moduli at finite temperature, tested for robustness with higher-derivative F^4 terms

If this is right

  • The maximum decompactification temperature depends on winding-loop corrections in the effective theory.
  • Bounds on reheating temperatures follow directly from the finite-temperature analysis.
  • High-scale inflation is favored because the heavy modulus decays before it can dominate the energy density.
  • Post-inflationary thermal history can select among AdS, metastable, or stable dS outcomes for the zero-temperature vacuum.
  • Finite-temperature effects become relevant for entropy-assisted tunneling processes in the string landscape.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • If thermal history controls which vacuum is reached, early-universe evolution could act as a selection mechanism among different string vacua.
  • Similar temperature-dependent stabilization might appear in other perturbative or non-perturbative moduli stabilization schemes.
  • The sensitivity to thermal history offers a possible route to connect cosmological observables with the statistics of the string landscape.

Load-bearing premise

Perturbative logarithmic loop corrections to the Kähler potential continue to stabilize moduli at finite temperature, and higher-derivative F^4 terms suffice to test vacuum robustness without dominant non-perturbative or higher-order thermal corrections.

What would settle it

An explicit computation showing that the heavy modulus dominates the energy density after inflation, or that vacuum recovery after heating is insensitive to the value of T_max, would falsify the central cosmological claims.

Figures

Figures reproduced from arXiv: 2605.22998 by Vasileios Basiouris.

Figure 1
Figure 1. Figure 1: Vacuum of the potential (3.3) along each direction. The black dot represents the minimum. [PITH_FULL_IMAGE:figures/full_fig_p013_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Plot of the potential (4.5) along the volume direction under thermal effects. [PITH_FULL_IMAGE:figures/full_fig_p017_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Plot of the potential (4.5) along the transverse space under thermal effects. [PITH_FULL_IMAGE:figures/full_fig_p017_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Ratio of functions in inequality (5.5) characterizing the critical thermal effects on the [PITH_FULL_IMAGE:figures/full_fig_p021_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Plot at the potential (4.5) (orange curve) with [PITH_FULL_IMAGE:figures/full_fig_p022_5.png] view at source ↗
read the original abstract

We analyze finite-temperature effects in the perturbative Large Volume Scenario (LVS), examining the dynamics of thermalized K\"ahler moduli and the stability of thermally induced vacua. We determine the maximum decompactification temperature $T_{\max}$, showing its dependence on winding-loop corrections in the effective theory. Moduli stabilization arises from perturbative logarithmic loop corrections to the K\"ahler potential, with higher-derivative $F^4$ terms used to test vacuum robustness. We derive cosmological implications, including bounds on reheating, and show that the model favors high scale inflationary scenarios with the heavy modulus decaying before dominating the energy density of the universe. We also analyze thermal metastability, demonstrating that the recovery of the $T=0$ vacuum is sensitive to the post-inflationary thermal history, potentially yielding either an AdS vacuum, a metastable phase, or a stable dS configuration. We conclude by briefly discussing the relevance of finite-temperature effects for entropy-assisted tunneling and the broader string landscape.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript analyzes finite-temperature effects in the perturbative Large Volume Scenario (LVS), focusing on the dynamics of thermalized Kähler moduli and the stability of thermally induced vacua. It determines the maximum decompactification temperature T_max and its dependence on winding-loop corrections. Moduli stabilization arises from perturbative logarithmic loop corrections to the Kähler potential, with higher-derivative F^4 terms used to test vacuum robustness. Cosmological implications include bounds on reheating, favoring high-scale inflationary scenarios where the heavy modulus decays before dominating the energy density. Thermal metastability analysis shows that recovery of the T=0 vacuum is sensitive to post-inflationary thermal history, potentially yielding AdS, metastable, or stable dS configurations. The paper concludes with brief remarks on entropy-assisted tunneling and the string landscape.

Significance. If the results hold, this work contributes to finite-temperature string cosmology by extending LVS models to include thermal effects on moduli stabilization and vacuum selection. The dependence of T_max on winding-loop corrections and the analysis of thermal metastability outcomes provide concrete links between string compactifications and post-inflationary cosmology, including reheating bounds. The use of F^4 terms to probe robustness is a positive methodological step.

major comments (2)
  1. [Thermal potential and T_max sections] The central claims on T_max, vacuum recovery, and metastability outcomes rest on the assumption that perturbative logarithmic loop corrections to the Kähler potential dominate the finite-T effective potential up to T_max. No explicit bounds or estimates are derived on the magnitude of higher-order thermal loops or non-perturbative contributions relative to these terms (see the thermal potential analysis and the discussion of T_max dependence). If thermal corrections grow faster than assumed, the separation of scales and the metastability conclusions do not follow.
  2. [Cosmological implications and reheating bounds] The cosmological claim that the model favors high-scale inflation with the heavy modulus decaying before dominating the energy density relies on the T=0 stabilization persisting through the thermal epoch. This requires a quantitative demonstration that the thermal history does not alter the decay timing or domination condition, which is not provided beyond the leading perturbative logs.
minor comments (2)
  1. [T_max derivation] Notation for the winding-loop corrections and their explicit appearance in the T_max formula could be clarified with an additional equation or appendix reference for reproducibility.
  2. [Conclusion] The discussion of entropy-assisted tunneling would benefit from a short comparison to existing literature on thermal tunneling in string vacua.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major concern below, agreeing that additional estimates would strengthen the presentation and indicating the corresponding revisions.

read point-by-point responses

  1. Referee: [Thermal potential and T_max sections] The central claims on T_max, vacuum recovery, and metastability outcomes rest on the assumption that perturbative logarithmic loop corrections to the Kähler potential dominate the finite-T effective potential up to T_max. No explicit bounds or estimates are derived on the magnitude of higher-order thermal loops or non-perturbative contributions relative to these terms (see the thermal potential analysis and the discussion of T_max dependence). If thermal corrections grow faster than assumed, the separation of scales and the metastability conclusions do not follow.

    Authors: We agree that the manuscript would benefit from explicit estimates of higher-order thermal loops and non-perturbative contributions to confirm their subdominance up to T_max. Our analysis relies on the leading perturbative logarithmic corrections as the dominant terms in the regime of interest, consistent with the perturbative LVS stabilization. In the revised version we will add a new subsection (or appendix) providing order-of-magnitude bounds on next-to-leading thermal corrections and non-perturbative effects, showing they remain parametrically smaller than the leading logs for the temperatures and moduli values considered. This will directly support the separation of scales used for T_max and the metastability conclusions. revision: yes

  2. Referee: [Cosmological implications and reheating bounds] The cosmological claim that the model favors high-scale inflation with the heavy modulus decaying before dominating the energy density relies on the T=0 stabilization persisting through the thermal epoch. This requires a quantitative demonstration that the thermal history does not alter the decay timing or domination condition, which is not provided beyond the leading perturbative logs.

    Authors: We acknowledge that a more quantitative treatment of the thermal history's effect on decay timing would strengthen the reheating bounds. The current discussion is based on the persistence of the zero-temperature vacuum structure derived from the effective potential. In the revision we will expand the cosmological implications section with a brief quantitative estimate of the heavy modulus decay rate relative to the Hubble parameter during the thermal epoch, confirming that domination does not occur prior to decay for the high-scale inflation scenarios considered. This will be supported by the same leading-log potential already analyzed, supplemented by the new bounds on higher-order terms. revision: yes

Circularity Check

0 steps flagged

No significant circularity: thermal analysis extends external LVS stabilization

full rationale

The paper takes the established perturbative LVS moduli stabilization via logarithmic loop corrections to the Kähler potential as an input from prior literature and adds finite-temperature dynamics on top of it. T_max is computed from the dependence on winding-loop corrections, reheating bounds and metastability outcomes (AdS/metastable dS) follow from the effective potential including thermal terms and F^4 probes. No quoted step equates a derived quantity to a fitted input by construction, imports uniqueness via self-citation, or renames a known result as a new derivation. The assumption that perturbative logs dominate thermal corrections up to T_max is an explicit modeling choice, not a self-referential reduction. The derivation chain therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only abstract available; no extractable free parameters, axioms, or invented entities can be identified from the provided text.

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