Supersymmetric AdS5 solutions of type IIB supergravity
Supersymmetric AdS5 solutions of type IIB supergravity
复制标题
IIB型超重力超对称AdS5解
DOI：
10.1088/0264-9381/23/14/009
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发表时间：
2005
影响因子：
3.5
通讯作者：
D. Waldram
中科院分区：
文献类型：
--
作者：
J. Gauntlett;D. Martelli;J. Sparks;D. Waldram
我们分析了IIB型超引力的最一般的玻色超对称解，其度量是五维反德西特空间（AdS5）与五维黎曼流形M5的翘曲乘积。所有的通量都符合SO（4，2）对称性。我们表明，必要条件和充分条件可以措辞在M5上的本地身份结构。对于一类特殊的情形，即具有常数介子和消失轴子的情形，我们将问题归结为求解一个二阶非线性常微分方程。我们找到了一个精确的解决方案的常微分方程再现的解决方案首先发现的皮尔希和华纳。的常微分方程的数值分析揭示了另一类的局部解决方案给出完整的度量S5，但与三种形式的流量和杀害旋量，不是全球性的定义。
We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space (AdS5) with a five-dimensional Riemannian manifold M5. All fluxes are allowed consistent with SO(4, 2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M5. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second-order nonlinear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions giving complete metrics on S5 but with three-form flux and Killing spinors that are not globally defined.