Minisuperspace quantization of bubbling AdS${}_2\times$S${}^2$ geometries

Abstract

We quantize the moduli space of supersymmetric microstates describing four-dimensional black holes with AdS${}_2$$\times$S${}^2$ asymptotics. To acquire the commutation relations of quantization, we find the symplectic form that is imposed in the Type IIB SUGRA and defined in the space of solutions parameterized by one complex harmonic function in $R^3$ with sources distributed along closed curves.

17 pages

References in corpus (5)

• The fuzzball proposal for black holes
• Black Holes as Effective Geometries
• Supersymmetric states of N=4 Yang-Mills from giant gravitons
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Supersymmetric Giant Graviton Solutions in AdS_3

Cited by in corpus (1)

• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance