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AdS6 solutions of type II supergravity

2014/06/30 by Fabio Apruzzi, Marco Fazzi, Achilleas Passias +2 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Dual (grammatical number) #Engineering #Fibration #Geology #Higher-dimensional supergravity #Horizon #Killing spinor #Mathematical physics #Mathematics #Metric (unit) #Philosophy #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Space (punctuation) #Spinor #Supergravity #Supersymmetry #Type (biology) #hep-th

paper · pdf · doi:10.1007/jhep11(2014)099

37 pages; v2: references and equations (5.1) added, version published in Journal of High Energy Physics; v3: equation (5.1b) corrected

openalex publication_date 2014/11/01 · arxiv created 2015/04/03 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A bstract Very few AdS 6 × M 4 supersymmetric solutions are known: one in massive IIA, and two IIB solutions dual to it. The IIA solution is known to be unique; in this paper, we use the pure spinor approach to give a classification for IIB supergravity. We reduce the problem to two PDEs on a two-dimensional space Σ. M 4 is then a fibration of S 2 over Σ; the metric and fluxes are completely determined in terms of the solution to the PDEs. The results seem likely to accommodate near-horizon limits of ( p, q )-fivebrane webs studied in the literature as a source of CFT 5 ’s. We also show that there are no AdS 6 solutions in eleven-dimensional supergravity.

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