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Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
Author(s) -
Vijay Balasubramanian,
Per Berglund,
Joseph P. Conlon,
Fernando Quevedo
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/03/007
Subject(s) - moduli , physics , tachyon , calabi–yau manifold , string theory , theoretical physics , gravitino , de sitter universe , supergravity , compactification (mathematics) , supersymmetry , scalar potential , string (physics) , scalar (mathematics) , mathematical physics , pure mathematics , universe , quantum mechanics , geometry , mathematics
We study the large volume limit of the scalar potential in Calabi-Yau fluxcompactifications of type IIB string theory. Under general circumstances thereexists a limit in which the potential approaches zero from below, with anassociated non-supersymmetric AdS minimum at exponentially large volume. Boththis and its de Sitter uplift are tachyon-free, thereby fixing all Kahler andcomplex structure moduli, which has been difficult to achieve in the KKLTscenario. Also, for the class of vacua described in this paper, the gravitinomass is independent of the flux discretuum, whereas the ratio of the stringscale to the 4d Planck scale is hierarchically small but flux dependent. Theinclusion of alpha' corrections plays a crucial role in the structure of thepotential. We illustrate these ideas through explicit computations for aparticular Calabi-Yau manifold.Comment: 23 pages, LaTeX, 1 eps figure; v2: typos, references, minor rewording

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