论文标题
从巨型引力到黑洞
From giant gravitons to black holes
论文作者
论文摘要
我们从最近建议的巨型Graditon扩展公式中研究广告$ _5 $黑洞，用于$ u（n）$最大超级阳性理论的索引。我们通过固定费用计算大型$ n $熵，并通过鞍点分析计算巨大的Graviton Number $ N_i $，并以$ N_I $的形式进一步最大化它。这与小黑洞极限中的双黑洞熵一致。为了在一般尺寸上获得黑洞，应该指出，各种巨型重力指数取消了，因为量规理论不会受到无限的Baryonic塔的类似hagedorn样病理的困扰。有一个关于该取消的机制的假设，我们在一般尺寸的双重黑洞熵中解释了。我们将结果解释为对SCFT的大$ N $ Free Energies的分析延续，并基于它计算ADS $ _ {4,7} $黑洞的AD熵。
We study AdS$_5$ black holes from a recently suggested giant graviton expansion formula for the index of $U(N)$ maximal super-Yang-Mills theory. We compute the large $N$ entropy at fixed charges and giant graviton numbers $n_I$ by a saddle point analysis, and further maximize it in $n_I$. This agrees with the dual black hole entropy in the small black hole limit. To get black holes at general sizes, one should note that various giant graviton indices cancel because gauge theory does not suffer from a Hagedorn-like pathology by an infinite baryonic tower. With one assumption on the mechanism of this cancellation, we account for the dual black hole entropy at general sizes. We interpret our results as analytic continuations of the large $N$ free energies of SCFTs, and based on it compute the entropies of AdS$_{4,7}$ black holes from M5, M2 giant gravitons.
