M-theory compactification, fluxes, and AdS(4)

We analyze supersymmetric solutions of M-theory based an a seven-dimensional internal space with SU(3) structure and a four-dimensional maximally symmetric space. The most general supersymmetry conditions are derived and we show that a nonvanishing cosmological constant requires the norms of the two...

Full description

Bibliographic Details
Main Authors: Lukas, A, Saffin, P
Format: Journal article
Language:English
Published: 2005
Description
Summary:We analyze supersymmetric solutions of M-theory based an a seven-dimensional internal space with SU(3) structure and a four-dimensional maximally symmetric space. The most general supersymmetry conditions are derived and we show that a nonvanishing cosmological constant requires the norms of the two internal spinors to differ. We find explicit local solutions with singlet flux and the space being a warped product of a circle, a nearly Kähler manifold and AdS4. The embedding of solutions into heterotic M-theory is also discussed. © 2005 The American Physical Society.