A systematic approach to Kähler moduli stabilisation

S. AbdusSalam (Department of Physics, Shahid Beheshti University, Evin G.C., Tehran, 19839, Islamic Republic of Iran) ; S. Abel (Institute for Particle Physics Phenomenology, Durham University, South Road, Durham, UK) ; M. Cicoli (Dipartimento di Fisica e Astronomia, Universit`a di Bologna, via Irnerio 46, Bologna, 40126, Italy; INFN, Sezione di Bologna, viale Berti Pichat 6/2, Bologna, 40127, Italy) ; F. Quevedo (DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK) ; P. Shukla (ICTP, Strada Costiera 11, Trieste, 34151, Italy)

Achieving full moduli stabilisation in type IIB string compactifications for generic Calabi-Yau threefolds with hundreds of Kähler moduli is notoriously hard. This is due not just to the very fast increase of the computational complexity with the number of moduli, but also to the fact that the scalar potential depends in general on the supergravity variables only implicitly. In fact, the supergravity chiral coordinates are 4- cycle volume moduli but the Kähler potential is an explicit function of the 2-cycle moduli and inverting between these two variables is in general impossible. In this paper we pro- pose a general method to fix all type IIB Kähler moduli in a systematic way by working directly in terms of 2-cycle moduli: on one side we present a ‘master formula’ for the scalar potential which can depend on an arbitrary number of Kähler moduli, while on the other we perform a computer-based search for critical points, introducing a hybrid Genetic/Clustering/Amoeba algorithm and other computational techniques. This allows us to reproduce several known minima, but also to discover new examples of both KKLT and LVS models, together with novel classes of LVS minima without diagonal del Pezzo divisors and hybrid vacua which share some features with KKLT and other with LVS solutions.

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      "source": "Springer", 
      "value": "Achieving full moduli stabilisation in type IIB string compactifications for generic Calabi-Yau threefolds with hundreds of K\u00e4hler moduli is notoriously hard. This is due not just to the very fast increase of the computational complexity with the number of moduli, but also to the fact that the scalar potential depends in general on the supergravity variables only implicitly. In fact, the supergravity chiral coordinates are 4- cycle volume moduli but the K\u00e4hler potential is an explicit function of the 2-cycle moduli and inverting between these two variables is in general impossible. In this paper we pro- pose a general method to fix all type IIB K\u00e4hler moduli in a systematic way by working directly in terms of 2-cycle moduli: on one side we present a \u2018master formula\u2019 for the scalar potential which can depend on an arbitrary number of K\u00e4hler moduli, while on the other we perform a computer-based search for critical points, introducing a hybrid Genetic/Clustering/Amoeba algorithm and other computational techniques. This allows us to reproduce several known minima, but also to discover new examples of both KKLT and LVS models, together with novel classes of LVS minima without diagonal del Pezzo divisors and hybrid vacua which share some features with KKLT and other with LVS solutions."
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Published on:
11 August 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 8
Pages 1-47
DOI:
https://doi.org/10.1007/JHEP08(2020)047
arXiv:
2005.11329
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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