Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0505079,
title = {Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets},
author = {Lars Grant and Liat Maoz and Joseph Marsano and Kyriakos Papadodimas and Vyacheslav S. Rychkov},
journal= {arXiv preprint arXiv:hep-th/0505079},
year = {2009}
}
Comments
22 Pages + 2 Appendices, JHEP3; v3: explanation of factor 2 mismatch added, references reordered, published version