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• W3105342236 abstract "In supergravity compactifications, there is in general no clear prescription on how to select a finite-dimensional family of metrics on the internal space, and a family of forms on which to expand the various potentials, such that the lower-dimensional effective theory is supersymmetric. We propose a finite-dimensional family of deformations for regular Sasaki-Einstein seven-manifolds $M_7$, relevant for M-theory compactifications down to four dimensions. It consists of integrable Cauchy-Riemann structures, corresponding to complex deformations of the Calabi-Yau cone $M_8$ over $M_7$. The non-harmonic forms we propose are the ones contained in one of the Kohn-Rossi cohomology groups, which is finite-dimensional and naturally controls the deformations of Cauchy-Riemann structures. The same family of deformations can be also described in terms of twisted cohomology of the base $M_6$, or in terms of Milnor cycles arising in deformations of $M_8$. Using existing results on SU(3) structure compactifications, we briefly discuss the reduction of M-theory on our class of deformed Sasaki-Einstein manifolds to four-dimensional gauged supergravity." @default.
• W3105342236 created "2020-11-23" @default.
• W3105342236 creator A5031561293 @default.
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• W3105342236 date "2018-04-01" @default.
• W3105342236 modified "2023-10-16" @default.
• W3105342236 title "Gauged supergravities from M-theory reductions" @default.
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• W3105342236 doi "https://doi.org/10.1007/jhep04(2018)048" @default.
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