New potentials from Scherk-Schwarz reductions

Abstract

We study compactifications of eleven-dimensional supergravity on Calabi-Yau threefolds times a circle, with a duality twist along the circle a la Scherk-Schwarz. This leads to four-dimensional N=2 gauged supergravity with a semi-positive definite potential for the scalar fields, which we derive explicitly. Furthermore, inspired by the orientifold projection in string theory, we define a truncation to N=1 supergravity. We determine the D-terms, Kaehler- and superpotentials for these models and study the properties of the vacua. Finally, we point out a relation to M-theory compactifications on seven-dimensional manifolds with G2 structure.

42 pages; v2: typo corrected

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Cited by in corpus (16)

• An extremization principle for the entropy of rotating BPS black holes in AdS${}_5$
• Gluing gravitational blocks for AdS black holes
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• Rotating attractors and BPS black holes in $Ad{S}_4$
• Rotating multi-charge spindles and their microstates
• Ungauging black holes and hidden supercharges
• Foliated eight-manifolds for M-theory compactification
• Dimensional reduction of BPS attractors in AdS gauged supergravities
• 6d-5d-4d reduction of BPS attractors in flat gauged supergravities
• A second look at gauged supergravities from fluxes in M-theory
• Bound states of spinning black holes in five dimensions
• The gravitational index of 5d black holes and black strings
• Black hole superpotential as a unifying entropy function and BPS thermodynamics
• Gauged supergravities from M-theory reductions
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$