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 3 × S 3 attractor and taking two different routes to arrive at a 1/2 BPS AdS 2 × S 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 .
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机译:通过一系列的Kaluza-Klein(KK)和Scherk-Schwarz(SS)压实,我们将BPS吸引子及其完整的(通常是非BPS)吸引流与在4、5和5中标量势消失的标称超重力下的Minkowski真空中6个维度。这样,我们可以从IIB弦理论的角度来看一类极端的非BPS黑洞和弦,并在地平线上保持4个增压。我们的结果表明存在一个双重2d N =(0,2)超保形场理论(SCFT),该理论源于D1-D5系统上的母N =(4,4)理论。这是通过在6d内使用AdS 3×S 3吸引子从BPS黑绳开始,并采取两种不同的路线来获得4d N = 2时非BPS黑洞的1/2 BPS AdS 2×S 2吸引子。平面超重力。两条不等价的路线互换了AdS 3上KK还原和S 3上SS还原的顺序。在执行对偶变换之后,我们还在两个操作之间找到了换向器:从理论上讲,结果是电与磁测量的交换;在解的水平上,我们发现四次不变量I 4翻转为?我4。
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