Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets

Details Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets

2005-05-10

arxiv.org/abs/hep-th/0505079v3

JHEP 0508 (2005) 025

Physics

High Energy Physics

High Energy Physics - Theory

22 Pages + 2 Appendices, JHEP3; v3: explanation of factor 2 mismatch added, references reordered, published version

Scientific paper

10.1088/1126-6708/2005/08/025

We quantize the space of 1/2 BPS configurations of Type IIB SUGRA found by Lin, Lunin and Maldacena (hep-th/0409174), directly in supergravity. We use the Crnkovic-Witten-Zuckerman covariant quantization method to write down the expression for the symplectic structure on this entire space of solutions. We find the symplectic form explicitly around AdS_5 x S^5 and obtain a U(1) Kac-Moody algebra, in precise agreement with the quantization of a system of N free fermions in a harmonic oscillator potential, as expected from AdS/CFT. As a cross check, we also perform the quantization around AdS_5 x S^5 by another method, using the known spectrum of physical perturbations around this background and find precise agreement with our previous calculation.

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