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Flux moduli stabilisation, supergravity algebras and no-go theorems

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Abstract

We perform a complete classification of the flux-induced 12d algebras compatible with the set of \( \mathcal{N} \) = 1 type II orientifold models that are T-duality invariant, and allowed by the symmetries of the \( \mathbb {T}^6/ \mathbb {Z}_2 \times \mathbb {Z}_2\) isotropic orbifold. The classification is performed in a type IIB frame, where only \( {\bar H_3} \) and Q fluxes are present. We then study no-go theorems, formulated in a type IIA frame, on the existence of Minkowski/de Sitter (Mkw/dS) vacua. By deriving a dictionary between the sources of potential energy in types IIB and IIA, we are able to combine algebra results and no-go theorems. The outcome is a systematic procedure for identifying phenomenologically viable models where Mkw/dS vacua may exist. We present a complete table of the allowed algebras and the viability of their resulting scalar potential, and we point at the models which stand any chance of producing a fully stable vacuum.

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Authors and Affiliations

  1. School of Physics and Astronomy, University of Southampton, Highfield, Southampton, SO17 1BJ, U.K.

    Beatriz de Carlos

  2. Instituto de Física Teórica UAM/CSIC, Facultad de Ciencias Módulo 08, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain

    Adolfo Guarino & Jesús M. Moreno

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  1. Beatriz de Carlos
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  2. Adolfo Guarino
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  3. Jesús M. Moreno
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Correspondence to Beatriz de Carlos.

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de Carlos, B., Guarino, A. & Moreno, J.M. Flux moduli stabilisation, supergravity algebras and no-go theorems. J. High Energ. Phys. 2010, 12 (2010). https://doi.org/10.1007/JHEP01(2010)012

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