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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Format: | Article |
Language: | English |
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Elsevier
2015-08-01
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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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institution | Directory Open Access Journal |
issn | 0550-3213 1873-1562 |
language | English |
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publishDate | 2015-08-01 |
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series | Nuclear Physics B |
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 |
work_keys_str_mv | AT kirilhristov 6d5d4dreductionofbpsattractorsinflatgaugedsupergravities AT andrearota 6d5d4dreductionofbpsattractorsinflatgaugedsupergravities |