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

Abstract

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 AdS_3xS^3 attractor and taking two different routes to arrive at a 1/2 BPS AdS_2xS^2 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 AdS_3 and SS reduction on S^3. 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 I_4 to -I_4.

20 pages, 2 flow charts; v2 improved discussion and added reference

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• A note on the entropy of rotating BPS AdS${}_7\times S^4$ black holes
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Black hole microstates and supersymmetric localization
• On generalised D1-D5 near horizons and their spectra
• Black holes in an expanding universe and supersymmetry
• Kerr-Newman black holes from $\mathcal{N}=1^{\ast }$
• Higher derivative corrections to BPS black hole attractors in 4d gauged supergravity
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries