6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities

Via a series of Kaluza–Klein (KK) and Scherk–Schwarz (SS) compactifications we relate BPS attractors and their complete (in general non-BPS) flows to a Minkowski vacuum in gauged supergravities with vanishing scalar potential in 4, 5, and 6 dimensions. This way we can look at a class of extremal non...

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Main Authors: Kiril Hristov, Andrea Rota
Format: Article
Language:English
Published: Elsevier 2015-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315001832
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author Kiril Hristov
Andrea Rota
author_facet Kiril Hristov
Andrea Rota
author_sort Kiril Hristov
collection DOAJ
description Via a series of Kaluza–Klein (KK) and Scherk–Schwarz (SS) compactifications we relate BPS attractors and their complete (in general non-BPS) flows to a Minkowski vacuum in gauged supergravities with vanishing scalar potential in 4, 5, and 6 dimensions. This way we can look at a class of extremal non-BPS black holes and strings from IIB string theory viewpoint, keeping 4 supercharges on the horizon. Our results imply the existence of a dual 2d N=(0,2) superconformal field theory (SCFT) that originates from a parent N=(4,4) theory living on a D1–D5 system. This is achieved starting from the BPS black string in 6d with an AdS3×S3 attractor and taking two different routes to arrive at a 1/2 BPS AdS2×S2 attractor of a non-BPS black hole in 4d N=2 flat gauged supergravity. The two inequivalent routes interchange the order of KK reduction on AdS3 and SS reduction on S3. We also find the commutator between the two operations after performing a duality transformation: on the level of the theory the result is the exchange of electric with magnetic gaugings; on the level of the solution we find a flip of the quartic invariant I4 to −I4.
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spelling doaj.art-340303f777fa48cb96dea95b7e352a402022-12-22T00:50:29ZengElsevierNuclear Physics B0550-32131873-15622015-08-01897C21322810.1016/j.nuclphysb.2015.05.0236d → 5d → 4d reduction of BPS attractors in flat gauged supergravitiesKiril Hristov0Andrea Rota1Dipartimento di Fisica, Università di Milano–Bicocca, I-20126 Milano, ItalyDipartimento di Fisica, Università di Milano–Bicocca, I-20126 Milano, ItalyVia a series of Kaluza–Klein (KK) and Scherk–Schwarz (SS) compactifications we relate BPS attractors and their complete (in general non-BPS) flows to a Minkowski vacuum in gauged supergravities with vanishing scalar potential in 4, 5, and 6 dimensions. This way we can look at a class of extremal non-BPS black holes and strings from IIB string theory viewpoint, keeping 4 supercharges on the horizon. Our results imply the existence of a dual 2d N=(0,2) superconformal field theory (SCFT) that originates from a parent N=(4,4) theory living on a D1–D5 system. This is achieved starting from the BPS black string in 6d with an AdS3×S3 attractor and taking two different routes to arrive at a 1/2 BPS AdS2×S2 attractor of a non-BPS black hole in 4d N=2 flat gauged supergravity. The two inequivalent routes interchange the order of KK reduction on AdS3 and SS reduction on S3. We also find the commutator between the two operations after performing a duality transformation: on the level of the theory the result is the exchange of electric with magnetic gaugings; on the level of the solution we find a flip of the quartic invariant I4 to −I4.http://www.sciencedirect.com/science/article/pii/S0550321315001832
spellingShingle Kiril Hristov
Andrea Rota
6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
Nuclear Physics B
title 6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
title_full 6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
title_fullStr 6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
title_full_unstemmed 6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
title_short 6d → 5d → 4d reduction of BPS attractors in flat gauged supergravities
title_sort 6d 5d 4d reduction of bps attractors in flat gauged supergravities
url http://www.sciencedirect.com/science/article/pii/S0550321315001832
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