2020/11/30 by Seyed Morteza Hosseini, Kiril Hristov
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Gauged supergravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep02(2021)177
published as JHEP02(2021)177 · 41 pages, v2: refs added, minor corrections, few coefficients in sect. 4.1 corrected, published version
openalex created_date 2020/11/09 · openalex publication_date 2021/02/22 · arxiv created 2021/11/04 · arxiv updated 2021/11/05 · openalex updated_date 2026/08/05
A bstract We perform a consistent reduction of 6d matter-coupled F(4) supergravity on a compact Riemann surface Σ_\mathfrakg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> of genus \mathfrakg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>g</mml:mi> </mml:math> , at the level of the bosonic action. The result is an N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 ℱ, describing different brane systems in massive type IIA and IIB wrapped on Σ_\mathfrakg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>g</mml:mi> </mml:msub> </mml:math> . 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 ℱ theories.