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Fermion Phase Space and Complex Matrix Model for Bubbling AdS Geometries. Tsuchiya (Osaka U.) in collaboration with Y. Takayama hep-th/0507070, to appear in JHEP. half-BPS sector of AdS/CFT correspondence. Bubbling AdS geometries. Lin-Lunin-Maldacena.
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Fermion Phase Space and Complex Matrix Model for Bubbling AdS Geometries Tsuchiya (Osaka U.) in collaboration with Y. Takayama hep-th/0507070, to appear in JHEP half-BPS sector of AdS/CFT correspondence
Bubbling AdS geometries Lin-Lunin-Maldacena • half-BPS geometries of type IIB sugra possessing R ×SO(4)×SO(4) characterized by a single function z(x1,x2, y) x2 • z obeys a differential equation • b.c. for z z must take ½ (white) or -½ (black) at y=0 x1 • interpreted as Fermi droplet
x2 x2 x1 x1 x2 x2 x1 r0 x1 KK graviton dual giant graviton giant graviton
SYM on • chiral primary operators • should be described by the holomorphic sector of a complex matrix model Corley-Jevicki-Ramgoolam Berenstein we establish 2D free fermions in the Lowest Landau Level 1D free fermions in the harmonic potential chiral primary op. droplet configuration