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arXiv 1809.02149hep-thgr-qc
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超对称AdS $_5$黑洞边界的挤压

Squashing the Boundary of Supersymmetric AdS$_5$ Black Holes

Davide Cassani, Lorenzo Papini

摘要:

我们在五维超引力中构造了一个新的超对称黑洞,它们具有任意数量的矢量多重态和Fayet-Iliopoulos规范。这些是渐近局部AdS $_5$和共形边界包括一个压扁的三个球体与$\text{SU}(2)\times \text{U}(1)$对称。该解取决于两个参数,其中一个参数决定角动量和Page电荷,而另一个参数控制边界处的挤压。后者是任意的,但是在流向视界的流动中,它被吸引到一个只取决于解的另一个参数的值。熵是由一个简单的公式,涉及角动量和佩奇电荷,而不是全息电荷。选择适当的五维框架,解可以提升到$S^5$上的IIB型超引力,因此应该是旋转的、压缩的爱因斯坦宇宙上的$\mathcal{N}=4$超级杨米尔斯的对偶。

英文摘要:

We construct new supersymmetric black holes in five-dimensional supergravity with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging. These are asymptotically locally AdS$_5$ and the conformal boundary comprises a squashed three-sphere with $\text{SU}(2)\times \text{U}(1)$ symmetry. The solution depends on two parameters, of which one determines the angular momentum and the Page electric charges, while the other controls the squashing at the boundary. The latter is arbitrary, however in the flow towards the horizon it is attracted to a value that only depends on the other parameter of the solution. The entropy is reproduced by a simple formula involving the angular momentum and the Page charges, rather than the holographic charges. Choosing the appropriate five-dimensional framework, the solution can be uplifted to type IIB supergravity on $S^5$ and should thus be dual to $\mathcal{N}=4$ super Yang-Mills on a rotating, squashed Einstein universe.

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