4.4 Article

Flux moduli stabilisation, supergravity algebras and no-go theorems

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2010)012

Keywords

Flux compactifications; dS vacua in string theory; Superstring Vacua

Funding

  1. FPI (MEC) [BES-2005-8412]
  2. CICYT, Spain [FPA 2007-60252]
  3. European Union [MRTN-CT-2004-503369, MRTN-CT-2006-035863]
  4. Comunidad de Madrid [HEPHACOS S-0505/ESP-0346]
  5. STFC (UK)

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We perform a complete classification of the flux-induced 12d algebras compatible with the set of N = 1 type II orientifold models that are T-duality invariant, and allowed by the symmetries of the T-6/(Z(2) x Z(2)) isotropic orbifold. The classification is performed in a type IIB frame, where only 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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