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Fermion Phase Space and Complex Matrix Model for Bubbling AdS Geometries

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

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  1. 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

  2. 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

  3. x2 x2 x1 x1 x2 x2 x1 r0 x1 KK graviton dual giant graviton giant graviton

  4. 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

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