Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules

Abstract

We study the gauging of the orthosymplectic algebras OSp(6|4)xSO(2) and its "dual" OSp(2|4)x SO(6), both based on supergravities with the same exceptional coset SO*(12)/U(6), and gauge group SO(6)xSO(2). The two dual theories are obtained by two different truncations of gauged N=8 AdS_4 supergravity. We explicitly study the gauge sector of the two dual theories with the most general group allowed by supersymmetry. In the ungauged (super-Poincaré) case they exhibit the same (large) black-hole attractor solutions with dual relations between the 1/N-BPS and non-BPS configurations. The N=6 gravity multiplet has also the exceptional property to be a {\em zero-center module} of OSp(6|4), as it is the case for superconformal Yang--Mills theory in four dimensions based on SU(2,2|n) (PSU(2,2|4) for n=4) or OSp(n|4).

27 pages, LaTeX source, typos and formulas in Section 4 corrected, references added, Section 5 and Appendix C added

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• Flux Compactification
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• A New Limit of the AdS_5 x S^5 Sigma Model
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Cited by in corpus (16)

• Evidence for a family of SO(8) gauged supergravity theories
• Gauged Supergravities
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• The N>2 supersymmetric AdS vacua in maximal supergravity
• Electric-magnetic deformations of D=4 gauged supergravities
• Twin Supergravities
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• Two-Centered Magical Charge Orbits
• Dualities Near the Horizon
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• Correlation Functions in $\omega$-Deformed N=6 Supergravity
• Twin conformal field theories
• Supersymmetric solutions from N=6 gauged supergravity
• Small Black Hole Constituents and Horizontal Symmetry
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• New Perspectives on Attractor Flows and Trees from CFT