Habemus Superstrata！超地层存在的构造性证明
Habemus Superstratum! A constructive proof of the existence of superstrata
摘要：
我们构造了上层的第一个例子：一类光滑的无水平线超引力解，它们由（至少）两个变量的任意连续函数参数化，并且具有与超对称D1-D5-P黑洞相同的电荷。我们在T^4或K3上研究IIB型弦论，我们的解涉及一个可以用具有两个张量多重态的六维超引力来描述的场子集。因此，可以使用线性结构构造的解决方案，我们给出了一个明确的配方，从一个由两个变量的任意函数指定的模式的叠加开始，并施加规律性，以获得完整的水平线的解决方案在封闭的形式。我们也给出了精确的CFT描述这些解决方案，并表明，他们不是对偶的手征原色的后代。因此，他们比所有已知的解决方案，其CFT对偶是精确理解的更一般。因此，我们的建设代表了一个实质性的一步，建设完全通用的上层的最终目标，可以占一个有限的分数的熵的三电荷黑洞的参数制度，经典的黑洞解存在。
英文摘要：
We construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of (at least) two variables and have the same charges as the supersymmetric D1-D5-P black hole. We work in Type IIB string theory on T^4 or K3 and our solutions involve a subset of fields that can be described by a six-dimensional supergravity with two tensor multiplets. The solutions can thus be constructed using a linear structure, and we give an explicit recipe to start from a superposition of modes specified by an arbitrary function of two variables and impose regularity to obtain the full horizonless solutions in closed form. We also give the precise CFT description of these solutions and show that they are not dual to descendants of chiral primaries. They are thus much more general than all the known solutions whose CFT dual is precisely understood. Hence our construction represents a substantial step toward the ultimate goal of constructing the fully generic superstratum that can account for a finite fraction of the entropy of the three-charge black hole in the regime of parameters where the classical black hole solution exists.
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