Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes

Details Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes Scherk-Schwarz reduction of M-theory on G2-manifolds with fluxes

2005-09-07

arxiv.org/abs/hep-th/0509052v3

JHEP 0510:103,2005

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, Latex; v3 typos corrected, one reference added, JHEP version

Scientific paper

10.1088/1126-6708/2005/10/103

We analyse the 4-dimensional effective supergravity theories obtained from the Scherk--Schwarz reduction of M-theory on twisted 7-tori in the presence of 4-form fluxes. We implement the appropriate orbifold projection that preserves a G2-structure on the internal 7-manifold and truncates the effective field theory to an N=1, D=4 supergravity. We provide a detailed account of the effective supergravity with explicit expressions for the Kaehler potential and the superpotential in terms of the fluxes and of the geometrical data of the internal manifold. Subsequently, we explore the landscape of vacua of M-theory compactifications on twisted tori, where we emphasize the role of geometric fluxes and discuss the validity of the bottom-up approach. Finally, by reducing along isometries of the internal 7-manifold, we obtain superpotentials for the corresponding type IIA backgrounds.

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