Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus
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DOI：
10.1088/1126-6708/2007/06/021
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发表时间：
2007-05
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
得到了具有16个超对称的完整IIB型超重力解。S2吗?S2吗?？ 与SO(2,3) ？(3)呢?黎曼曲面上两个全纯函数的对称？，通常有一个边界。这是通过使用上述对称性要求简化BPS方程，证明BPS方程的所有解都解完整的IIB型超重力场方程，将BPS方程映射到类似于Liouville和sin - gordon理论的新的可积系统，并将该可积系统映射到可以精确求解的线性方程来实现的。在无限类解中，确定了一个非奇异Janus解，它提供了最近发现的最大超对称Yang-Mills界面理论的AdS/CFT对偶。全局非奇异解的一般类的构造，包括完全反反应AdS5 ？S5和超对称Janus掺杂D5和/或NS5膜，被推迟到伴生论文[1]。
The complete Type IIB supergravity solutions with 16 supersymmetries are obtained on the manifold AdS4 ? S2 ? S2 ? ? with SO(2, 3) ? SO(3) ? SO(3) symmetry in terms of two holomorphic functions on a Riemann surface ?, which generally has a boundary. This is achieved by reducing the BPS equations using the above symmetry requirements, proving that all solutions of the BPS equations solve the full Type IIB supergravity field equations, mapping the BPS equations onto a new integrable system akin to the Liouville and Sine-Gordon theories, and mapping this integrable system to a linear equation which can be solved exactly. Amongst the infinite class of solutions, a non-singular Janus solution is identified which provides the AdS/CFT dual of the maximally supersymmetric Yang-Mills interface theory discovered recently. The construction of general classes of globally non-singular solutions, including fully back-reacted AdS5 ? S5 and supersymmetric Janus doped with D5 and/or NS5 branes, is deferred to a companion paper [1].