The Supersymmetry of Higher-Derivative Supergravity in AdS${}_4$ Holography

Abstract

An action for the higher-derivative corrections to minimal gauged supergravity in four dimensions has been recently proposed. We demonstrate that the supersymmetric solutions of this model are those of the two-derivative action, and investigate some of their properties. In particular, we prove a formula for the renormalised on-shell action in terms of contributions from fixed points of a $U(1)$ action, and confirm that it is invariant under deformations which preserve the boundary almost contact structure.

8 pages

References in corpus (4)

• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Holographic renormalization and supersymmetry
• Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality

Cited by in corpus (14)

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• Corrections to AdS${}_5$ Black Hole Thermodynamics from Higher-Derivative Supergravity
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• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• Boundary terms and conserved charges in higher-derivative gauged supergravity
• Maximally symmetric nuts in 4d $\mathcal{N}=2$ higher derivative supergravity
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Bianchi IX geometry and the Einstein-Maxwell theory
• Wrapped $M5$-branes and complex saddle points
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity
• Off-shell phase diagram of BPS black holes in AdS${}_5$