Abstract
We count the number of regular supersymmetric solutions in supergravity, called superstrata, that represent non-linear completion of linear fluctuations around empty AdS3×S3. These solutions carry the same charges as the D1-D5-P black hole and represent its microstates. We estimate the entropy using thermodynamic approximation and find that it is parametrically smaller than the area-entropy of the D1-D5-P black hole. Therefore, these superstrata based on AdS3× S3 are not typical microstates of the black hole. What are missing in the superstrata based on AdS3× S3 are higher and fractional modes in the dual CFT language. We speculate on what kind of other configurations to look at as possible realization of those modes in gravity picture, such as superstrata based on other geometries, as well as other brane configurations.
Highlights
Counting microstates in the brane worldvolume theory does not give us much information about their physical nature in the gravity picture
We count the number of regular supersymmetric solutions in supergravity, called superstrata, that represent non-linear completion of linear fluctuations around empty AdS3 ×S3
These superstrata based on AdS3 × S3 are not typical microstates of the black hole
Summary
For K3, there are 24 species of one-particle chiral primary states and they are all bosonic: k+α k + α All these states (2.1), (2.2) preserve 8 supercharges, 4 from the left and another 4 from the right.. Each of the chiral primaries (2.1), (2.2) (except |−− 1) is in one-to-one correspondence with a particular one-particle, 1/4-BPS state of the supergraviton propagating in the bulk AdS3 × S3 background [42, 44,45,46]. The general chiral primary state is specified by the set of numbers {Nkψ}, which correspond to the number of strands of species |ψ and length k. These states break all left-moving supersymmetry but preserve 4 right-moving supercharges In the bulk, they correspond to one-particle, 1/8-BPS supergraviton states obtained by the bulk action of the rigid SU(1, 1|2)L generators. (2.7) spans the Fock space of 1/8-BPS supergravitons, modulo the constraint on Nkψ,m,n,f
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