4d F(4) gauged supergravity and black holes of class $\mathcal{F}$

Abstract

We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface ${\Sigma }_{\mathfrak{g}}$ of genus $\mathfrak{g}$, at the level of the bosonic action. The result is an $\mathcal{N}=2$ gauged supergravity coupled to two vector multiplets and a single hypermultiplet. The four-dimensional model is holographically dual to the 3d superconformal field theories of class $\mathcal{F}$, describing different brane systems in massive type IIA and IIB wrapped on ${\Sigma }_{\mathfrak{g}}$. The naive reduction leads to a non-standard 4d mixed duality frame with both electric and magnetic gauge fields, as well as a massive tensor, that can be only described in the embedding tensor formalism. Upon a chain of electromagnetic dualities, we are able to determine the scalar manifolds and electric gaugings that uniquely specify the model in the standard supergravity frame. We then use the result to construct the first examples of static dyonic black holes in AdS${}_6$ and perform a microscopic counting of their entropy via the 5d topologically twisted index. Finally, we show the existence of further subtruncations to the massless sector of the 4d theory, such as the Fayet-Iliopoulos gauged $T^3$ model and minimal gauged supergravity. We are in turn able to find new asymptotically AdS${}_4$ solutions, providing predictions for the squashed $S^3$ partition functions and the superconformal and refined twisted indices of class $\mathcal{F}$ theories.

41 pages, v2: refs added, minor corrections, few coefficients in sect. 4.1 corrected, published version

References in corpus (19)

• Webs of five-branes and N=2 superconformal field theories
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• Wrapped M5-branes, consistent truncations and AdS/CMT
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS${}_4$ Holography
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Universal RG Flows Across Dimensions and Holography
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Euclidean Black Saddles and AdS${}_4$ Black Holes
• BPS Black Holes
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Static BPS Black Holes in AdS4 with General Dyonic Charges
• Janus solutions in six-dimensional gauged supergravity
• BPS black holes in N=2 D=4 gauged supergravities
• Anomalies, Black strings and the charged Cardy formula
• Static BPS black holes in U(1) gauged supergravity
• Supersymmetric AdS${}_7$ and AdS${}_6$ vacua and their consistent truncations with vector multiplets
• Various Wrapped Branes from Gauged Supergravities
• Comments on a-maximization from gauged supergravity

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