论文标题
bps和近bps黑洞$ ads_5 $及其频谱$ \ mathcal {n} = 4 $ sym sym
BPS and near-BPS black holes in $AdS_5$ and their spectrum in $\mathcal{N}=4$ SYM
论文作者
论文摘要
我们在重力路径积分中研究量子校正，近于$ 1/16 $ -bps黑洞，渐近地$ ads_5 \ times s^5 $空间，对4D $ \ MATHCAL {n} = 4 $ SUPER YANG-SUPER YANG YANG MILLS中的双重状态。该分析提供了一个引力解释，说明为什么$ 1/16 $ -BPS黑洞在大的$ n $上表现出确切的退化，以及为什么所有此类状态都具有相同的费用，从而确保了相信超规定指数精确地计算出极端黑洞的熵。我们显示了$ N^{ - 2} $的订单差距之间存在$ 1/16 $ -BPS黑洞和同一电荷领域内最轻的BPS黑洞之间的存在。这是在$ ads_5 $全息图的背景下，黑洞状态的这样的差距的第一个示例。我们还得出了位于此间隙上方的近BPS状态的频谱。我们的计算依赖于找到$ \ Mathcal {n} = 2 $ Super-Schwarzian理论的正确版本，该理论捕获了$ SU（1，1 | 1）$对称性的破坏，当黑洞具有有限的温度和非零化学势。最后，我们评论可能影响黑洞光谱的可能的弦和非扰动校正。
We study quantum corrections in the gravitational path integral around nearly $1/16$-BPS black holes in asymptotically $AdS_5 \times S^5$ space, dual to heavy states in 4D $\mathcal{N}=4$ super Yang-Mills. The analysis provides a gravitational explanation of why $1/16$-BPS black holes exhibit an exact degeneracy at large $N$ and why all such states have the same charges, confirming the belief that the superconformal index precisely counts the entropy of extremal black holes. We show the presence of a gap of order $N^{-2}$ between the $1/16$-BPS black holes and the lightest near-BPS black holes within the same charge sector. This is the first example of such a gap for black holes states within the context of $AdS_5$ holography. We also derive the spectrum of near-BPS states that lie above this gap. Our computation relies on finding the correct version of the $\mathcal{N}=2$ super-Schwarzian theory which captures the breaking of the $SU(1, 1|1)$ symmetry when the black hole has finite temperature and non-zero chemical potential. Finally, we comment on possible stringy and non-perturbative corrections that can affect the black hole spectrum.
