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arXiv 1607.02595hep-th
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N=(2,0),d=6超引力的非阿贝尔黑弦解

Non-Abelian black string solutions of N=(2,0),d=6 supergravity

Pablo A. Cano, Tomas Ortin, Camilla Santoli

摘要:

我们证明了,当在圆上紧化时,N=(2,0),d=6的超引力只耦合1个张量多重态和nV矢量多重态与N=(2,0),d=6的超引力只耦合nT=nV+1个张量多重态而不耦合矢量多重态是对偶的.这两种理论都简化为N=2,d=5的超引力耦合到nV 5 =nV+2矢量场的相同模型。我们得出Buscher规则,这些理论的解决方案(和理论,一个通过二元化的3-形式的场强)承认一个等距。由于N=2,d=5的超引力场与6维规范理论场的关系在有无规范下都是一样的,因此我们将最近发现的5维超对称非阿贝尔黑洞解提升,构造了6维规范理论的超对称非阿贝尔解.解描述了通常的弦和波的叠加,并在横向上补充了BPST瞬子。得到的解决方案之一插值平滑之间的两个AdS 3xS 3的几何形状具有不同的半径。

英文摘要:

We show that, when compactified on a circle, N=(2,0),d=6 supergravity coupled to 1 tensor multiplet and nV vector multiplets is dual to N=(2,0),d=6 supergravity coupled to just nT=nV+1 tensor multiplets and no vector multiplets. Both theories reduce to the same models of N=2,d=5 supergravity coupled to nV5=nV+2 vector fields. We derive Buscher rules that relate solutions of these theories (and of the theory that one obtains by dualizing the 3-form field strength) admitting an isometry. Since the relations between the fields of N=2,d=5 supergravity and those of the 6-dimensional theories are the same with or without gaugings, we construct supersymmetric non-Abelian solutions of the 6-dimensional gauged theories by uplifting the recently found 5-dimensional supersymmetric non-Abelian black-hole solutions. The solutions describe the usual superpositions of strings and waves supplemented by a BPST instanton in the transverse directions. One of the solutions obtained interpolates smoothly between two AdS3xS3 geometries with different radii.

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