Large N reduced model on curved spases

()Deconfinement phase transition in N=4 Super Yang-Mills on RS3from supersymmetric quantum mechanics (), Sangwoo Kim (Songang), ()Ishii-GI-Shimasaki-Tsushiya, Phys. Rev. D 76 (2008) 106001GI-Kim-Nishimura-Tsuchiya , arXiv:0810.2884 [hep-th] 2008/12/20Introduction & Motivation AdS/CFT RS3N=4 SYM Type IIB [Maldacena] AdS/CFT [Witten]S1S3N=4 SYM (planar limit, )Confining phaseUnconfining phaseTcAdS spaceAdS Black holeTcType IIB SUGRA0Hawking-Page transitionDeconfinement transition N=4 SYM [Sundborg, Aharony-Marsano-Minwalla-Papadodimas-Raamsdonk]

() N=4 SYM SYMPlane wave planar N=4 SYM SU(2|4) (16 SUSY ) SU(2|4) bosonic subgroup U(1)SU(2)SO(6) N=4 SYM (Deconfinement transition) [Ishii-GI-Shimasaki-Tsushiya, GI-Shimasaki-Takayama-Tsuchiya](2) Large N reduction (S1)(1) (S2) S3 ~ S1 S2 RS3 N=4 SYMRS2 SYMPlane wave PWMM RS3 N=4 SYM

continuum limit

RS3 N=4 SYM planar

(S2)(S1)[ishii-GI-Shimasaki-Tsuchiya, kitazawa-matsumoto]

PWMMN=4 SYM PWMM N=4 SYM S1

moduli1-loop

Moduli (holonomy)1-loop [cf. Kawahara-Nishimura-Yoshida]

Aharony T4[Kitazawa-Matsumoto]

Aharony N=4 PWMM PWMMRS3 planar N=4 SYM SU(2|4) Hawking-Page SU(2|4) (RS3/ZkSYMRS2SYM) [Ishiki-Kim-Nishimura-Tsuchiya][cf. Anagnostopoulos-Hanada-Nishimura-Takeuchi, Catterall-Wiseman] / computer SU(2|4) /[Lin-Maldacena]