Non-lattice simulation of supersymmetric gauge theories as a probe to quantum black holes and strings Plenary talk at LATTICE 2009, Beijing, China, July 30, ’09. Ref.) Hanada-J.N.-Takeuchi, PRL 99 (’07) 161602 Anagnostopoulos-Hanada- J.N.-Takeuchi, PRL 100 (’0 8) 021601 Hanada-Miwa-J.N.-Takeuchi, PRL 1 02 (’09) 181602 Hanada-Hyakutake-J.N.-Takeuchi, PRL 102 (’09) 191602 Ishiki-Kim-J.N.-Tsuchiya, P RL 102 (’09) 111601 Jun Nishimura (KEK)
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Plenary talk at LATTICE 2009, Beijing, China, July 30, ’09.
Non-lattice simulation of supersymmetric gauge theories as a probe to quantum black holes and strings. Jun Nishimura (KEK). Plenary talk at LATTICE 2009, Beijing, China, July 30, ’09. Ref.) Hanada-J.N.-Takeuchi, PRL 99 (’07) 161602 - PowerPoint PPT Presentation
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Non-lattice simulation of supersymmetric gauge theories as a probe to quantum black holes and strings
Plenary talk at LATTICE 2009, Beijing, China, July 30, ’09.
Ref.) Hanada-J.N.-Takeuchi, PRL 99 (’07) 161602 Anagnostopoulos-Hanada- J.N.-Takeuchi, PRL 100 (’08) 021601 Hanada-Miwa-J.N.-Takeuchi, PRL 102 (’09) 181602 Hanada-Hyakutake-J.N.-Takeuchi, PRL 102 (’09) 191602 Ishiki-Kim-J.N.-Tsuchiya, PRL 102 (’09) 111601
Jun Nishimura (KEK)
0. Introduction
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Gauge/gravity duality (a conjecture from superstring theory)
Maldacena (’97)
U(N) supersymmetric Yang-Mills theory (SYM)with 16 (32) supercharges
a classical solution of 10d supergravity (SUGRA)
6225 cites on SPIRES
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N
Argument for the conjectureD brane “ soliton solution”
propagation of a gauge particle
(Dirichlet)
emission of a graviton
curved 10d space-timedim U(N) SYM low energy limit
in superstring theory
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Why interesting ? realization of an old idea by ’t Hooft (’73)
emergent space-time
applications:
ultimate goal:
strong-weak duality
anti-de Sitter space, black hole geometry at finite T
Studies of strongly coupled gauge theory are important !
hadron and condensed matter physics, from curved space-timeblack hole thermodynamics, from gauge theory
non-perturbative & background indep. formulation of string theory
large N gauge theory string theory
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Monte Carlo studies
lattice actions with various symmetries e.g.) preserving 1 supercharge using topological twist
non-lattice simulations of SYM with 16 supercharges 1d gauge theory extension to 3d, 4d gauge theory using the idea of large N reduction
supersymmetrytranslational symmetrybroken by the lattice
SUSY can be restored in the continuum limit. (Typically, fine-tuning is necessary.)