Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: LARGE Volume String Compactifications at Finite Temperature   We present a detailed study of the finite-temperature behaviour of the LARGE
Volume type IIB flux compactifications. We show that certain moduli can
thermalise at high temperatures. Despite that, their contribution to the
finite-temperature effective potential is always negligible and the latter has
a runaway behaviour. We compute the maximal temperature $T_{max}$, above which
the internal space decompactifies, as well as the temperature $T_*$, that is
reached after the decay of the heaviest moduli. The natural constraint
$T_*<T_{max}$ implies a lower bound on the allowed values of the internal
volume $\mathcal{V}$. We find that this restriction rules out a significant
range of values corresponding to smaller volumes of the order $\mathcal{V}\sim
10^{4}l_s^6$, which lead to standard GUT theories. Instead, the bound favours
values of the order $\mathcal{V}\sim 10^{15}l_s^6$, which lead to TeV scale
SUSY desirable for solving the hierarchy problem. Moreover, our result favours
low-energy inflationary scenarios with density perturbations generated by a
field, which is not the inflaton. In such a scenario, one could achieve both
inflation and TeV-scale SUSY, although gravity waves would not be observable.
Finally, we pose a two-fold challenge for the solution of the cosmological
moduli problem. First, we show that the heavy moduli decay before they can
begin to dominate the energy density of the Universe. Hence they are not able
to dilute any unwanted relics. And second, we argue that, in order to obtain
thermal inflation in the closed string moduli sector, one needs to go beyond
the present EFT description.

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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas