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

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Publication:2026056

DOI10.1007/JHEP02(2021)177zbMATH Open1460.83115arXiv2011.01943MaRDI QIDQ2026056

Author name not available (Why is that?)

Publication date: 17 May 2021

Published in: (Search for Journal in Brave)

Abstract: We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface Sigmamathfrakg of genus mathfrakg, at the level of the bosonic action. The result is an mathcalN=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 mathcalF, describing different brane systems in massive type IIA and IIB wrapped on Sigmamathfrakg. 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 AdS6 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 T3 model and minimal gauged supergravity. We are in turn able to find new asymptotically AdS4 solutions, providing predictions for the squashed S3 partition functions and the superconformal and refined twisted indices of class mathcalF theories.


Full work available at URL: https://arxiv.org/abs/2011.01943



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