Abstract
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.
Highlights
There has been growing evidence that string theory contains smooth, horizonless boundstate or solitonic objects that have the same charges and supersymmetries as large BPS black holes and that depend on arbitrary continuous functions of two variables
We construct the first example of a superstratum: a class of smooth horizonless supergravity solutions that are parameterized by arbitrary continuous functions of 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
Summary
There has been growing evidence that string theory contains smooth, horizonless boundstate or solitonic objects that have the same charges and supersymmetries as large BPS black holes and that depend on arbitrary continuous functions of two variables These objects, dubbed superstrata, were first conjectured to exist in [1], by realizing that some of the exotic brane bound states studied in [2]1 can give rise to non-singular solutions in the duality frame where the charges of these objects correspond to momentum, D1-branes and D5-branes. While we do have a superstratum that fluctuates nontrivially as a function of two variables, the fluctuations we construct here are dual to restricted classes of integer-moded current-algebra excitations in the dual CFT and so, at present, our superstrata solutions do not have sufficiently many states to capture the black-hole entropy. Readers who are not so interested in the gory technical details of our solutions can read sections 2 and 3 in order to understand the supergravity structure that we use in constructing the explicit superstratum solution, and read section 7 in order to understand the corresponding states in the dual CFT
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