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arXiv 1610.07367hep-thgr-qc
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N=2,d=5阿贝尔规范超重力中的黑弦一阶流

Black string first order flow in N=2, d=5 abelian gauged supergravity

Dietmar Klemm, Nicolò Petri, Marco Rabbiosi

摘要:

利用Hamilton-Jacobi方法,我们导出了五维N=2阿贝尔规范超引力中磁荷黑弦的BPS和非BPS一阶流方程。这是第一次做的耦合向量多重和U(1)费耶特-伊利奥普洛斯(FI)规范,然后推广到的情况下,也超多重存在,和阿贝尔对称性的四元数超标量目标空间进行规范。然后,我们使用这些结果导出的吸引子方程的极端黑弦的近地平线的几何形状,并解决他们显式的情况下,出现在陈-西蒙斯项的超引力作用满足伴随的身份。这使得计算的一般性的中心荷的二维共形场论,描述了在红外线的黑弦,在磁荷,CY交叉数和FI常数。最后,我们将r-映射扩展到规范超引力,并使用它将我们的流方程与四维流方程联系起来。

英文摘要:

We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N=2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then generalized to the case where also hypermultiplets are present, and abelian symmetries of the quaternionic hyperscalar target space are gauged. We then use these results to derive the attractor equations for near-horizon geometries of extremal black strings, and solve them explicitely for the case where the constants appearing in the Chern-Simons term of the supergravity action satisfy an adjoint identity. This allows to compute in generality the central charge of the two-dimensional conformal field theory that describes the black strings in the infrared, in terms of the magnetic charges, the CY intersection numbers and the FI constants. Finally, we extend the r-map to gauged supergravity and use it to relate our flow equations to those in four dimensions.

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