论文标题
在轨道背景上的superstrata
Superstrata on Orbifolded Backgrounds
论文作者
论文摘要
Strominger-VAFA黑洞的某些微晶体由称为SuperStrata的平滑地面几何形状表示。标准的超质量是$ {\ rm ads} _3 \ times s^3 $的变形，但是在orbifold $（{\ rm ads} _3 \ times s^3）/\ mathbb {z} _p $上也存在superstrata的概括。在本文中，我们讨论了这种轨道superstrata的各个方面。我们对Orbifold Superstrata的结构介绍了CFT的观点，表明它们可以在Orbifold CFT的$ P $覆盖空间中构建，就像标准的SuperStrata一样。我们还明确地写下并研究了Orbifold Superstrata的几何形状，重点是与非孔子案例的差异，$ p = 1 $。我们讨论了superstrata对$（{\ rm ads} _3 \ times s^3）的分数光谱流的进一步概括。这种概括涉及CFT侧的新分数模式激发。我们估计了这些广义超纹状体的数量，并表明它们的熵太小，无法解释Strominger-VAFA熵。我们将讨论与黑洞的典型微晶和相关超对称指数有关的结果的一些含义。
Some microstates of the Strominger-Vafa black hole are represented by smooth horizonless geometries called superstrata. The standard superstrata are deformations of ${\rm AdS}_3\times S^3$, but there are also generalizations of superstrata on the orbifold $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. In this paper, we discuss aspects of such orbifolded superstrata. We present a CFT perspective on the structure of orbifolded superstrata, showing that they can be constructed in a $p$-covering space of the orbifold CFT just as the standard superstrata. We also explicitly write down and study the geometry of the orbifolded superstrata, focusing on the difference from the non-orbifold case, $p=1$. We discuss further generalization of superstrata to the ones on a fractional spectral flow of $({\rm AdS}_3\times S^3)/\mathbb{Z}_p$. This generalization involves new fractional mode excitations of the CFT side. We estimate the number of those generalized superstrata, and show that their entropy is too small to account for the Strominger-Vafa entropy. We will discuss some implications of this result, related to the typical microstates of the black hole and the relevant supersymmetry index.
