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arXiv 1812.09613hep-thgr-qc
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4d $\mathcal{N}=4$ Super-Yang-Mills中的黑洞

Black holes in 4d $\mathcal{N}=4$ Super-Yang-Mills

Francesco Benini, Elisa Milan

摘要:

我们解决了一个长期存在的问题:四维$S^3$ SU(N)Super-Yang-Mills理论是否包含足够的状态来解释AdS $_5$中旋转带电BPS黑洞的熵?我们的答案是肯定的。我们重新考虑了大N极限的超共形指数,使用Bethe Anglesia制定,并找到一个指数大的贡献,准确地再现了Bekenstein-Hawking熵的黑洞的Gutowski-Reall。此外,大N极限呈现出复杂的结构,有许多竞争的指数贡献和斯托克斯线,暗示着新的物理。

英文摘要:

We resolve a long-standing question: does the four-dimensional $\mathcal{N}=4$ SU(N) Super-Yang-Mills theory on $S^3$ at large N contain enough states to account for the entropy of rotating electrically-charged BPS black holes in AdS$_5$? Our answer is positive. We reconsider the large N limit of the superconformal index, using the Bethe Ansatz formulation, and find an exponentially large contribution which exactly reproduces the Bekenstein-Hawking entropy of the black holes of Gutowski-Reall. Besides, the large N limit exhibits a complicated structure, with many competing exponential contributions and Stokes lines, hinting at new physics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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