Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus
Exact half-BPS type IIB interface solutions II: flux solutions and multi-Janus
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DOI：
10.1088/1126-6708/2007/06/022
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发表时间：
2007-04
影响因子：
5.4
通讯作者：
E. D'hoker;J. Estes;M. Gutperle
中科院分区：
文献类型：
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作者：
E. D'hoker;J. Estes;M. Gutperle
对AdS 4 × S 2 × S 2 × S 2 × S 3上的具有16个超对称的IIB型精确解施加正则性和拓扑条件，这些解是在[1]中得到的.我们构造了一个无穷多类正则解，它们具有变化的导数和非零的3-形式通量。我们的解可以看作是掺杂D5和/或NS 5膜的AdS 5 × S5（或者更一般地说，Janus）的完全反反应几何。通过选择一个任意亏格g的带边界的超椭圆Riemann曲面，其所有分支点被限制在一条直线上，从而将解参数化.对于亏格0，恢复了具有16个超对称和6个真实的参数的Janus解，其拓扑结构与AdS 5 × S 5的拓扑结构一致.亏格g ≥ 1的解由总共4g + 6个真实的数参数化，其中2g−1是ε的真实的模。解有2g + 2个渐近AdS 5 × S5区域，g为具有RR 3型荷的三球，另g为具有NSNS 3型荷的三球.连续分支点的坍缩产生对应于探测极限中的D5和NS 5膜的奇点。我们认为，AdS/CFT对偶规范理论对我们的每一个解都是由一个2+1维的平面界面组成的，在这个界面上终止了2g + 2半Minkowski 3+1维时空= 4超杨-米尔斯理论.一般来说，在每一个闵可夫斯基半时空中的= 4理论可以有一个独立的规范耦合值，并且界面可以支持各种各样的算子，它们的界面耦合是对偶规范理论的进一步的自由参数。
Regularity and topology conditions are imposed on the exact Type IIB solutions on AdS4 × S2 × S2 × Σ with 16 supersymmetries, which were derived in a companion paper [1]. We construct an infinite class of regular solutions with varying dilaton, and non-zero 3-form fluxes. Our solutions may be viewed as the fully back-reacted geometries of AdS5 × S5 (or more generally, Janus) doped with D5 and/or NS5 branes. The solutions are parametrized by the choice of an arbitrary genus g hyper-elliptic Riemann surface Σ with boundary, all of whose branch points are restricted to lie on a line. For genus 0, the Janus solution with 16 supersymmetries and 6 real parameters is recovered; its topology coincides with that of AdS5 × S5. The genus g ≥ 1 solutions are parametrized by a total of 4g + 6 real numbers, 2g−1 of which are the real moduli of Σ. The solutions have 2g + 2 asymptotic AdS5 × S5 regions, g three-spheres with RR 3-form charge, and another g with NSNS 3-form charge. Collapse of consecutive branch points of Σ yields singularities which correspond to D5 and NS5 branes in the probe limit. It is argued that the AdS/CFT dual gauge theory to each of our solutions consists of a 2+1-dimensional planar interface on which terminate 2g + 2 half-Minkowski 3+1-dimensional space-time = 4 super-Yang-Mills theories. Generally, the = 4 theory in each Minkowski half-space-time may have an independent value of the gauge coupling, and the interface may support various operators, whose interface couplings are further free parameters of the dual gauge theory.