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arXiv · 1605.06383

Generalized geometric vacua with eight supercharges

Mariana Graña·Praxitelis Ntokos
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Abstract

We investigate compactifications of type II and M-theory down to $AdS_5$ with generic fluxes that preserve eight supercharges, in the framework of Exceptional Generalized Geometry. The geometric data and gauge fields on the internal manifold are encoded in a pair of generalized structures corresponding to the vector and hyper-multiplets of the reduced five-dimensional supergravity. Supersymmetry translates into integrability conditions for these structures, generalizing, in the case of type IIB, the Sasaki-Einstein conditions. We show that the ten and eleven-dimensional type IIB and M-theory Killing-spinor equations specialized to a warped $AdS_5$ background imply the generalized integrability conditions.

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Mariana Graña, Praxitelis Ntokos. 2016-05-20. Generalized geometric vacua with eight supercharges. https://doi.org/10.1007/jhep08(2016)107

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