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We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac… (More)

We study the phase structure of the four-dimensional twisted Eguchi-Kawai model using numerical simulations. This model is an effective tool for studying SU(N) gauge theory in the large-N limit and provides a nonperturbative formulation of the gauge theory on noncommutative spaces. Recently it was found that its ZN symmetry, which is crucial for the… (More)

We study stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to noncommutative Yang-Mills theories (NCYM). It turns out that most of noncommutative spaces in bosonic models are unstable. This indicates perturbative instability of fuzzy R pointed out by Van Raamsdonk and Armoni et al. persists to nonperturbative… (More)

We apply Brown-Henneaux’s method to the 5D extremal rotating Kaluza-Klein black holes essentially following the calculation of the Kerr/CFT correspondence, which is not based on supersymmetry nor string theory. We find that there are two completely different Virasoro algebras that can be obtained as the asymptotic symmetry algebras according to appropriate… (More)

The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral conformal field theory (CFT) and the very near horizon limit of an extremal black hole, which includes an AdS2 structure. To understand the dual chiral CFT2, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which include the… (More)

Tatsuo Azeyanagi♠,∗), Geoffrey Compère♥,∗∗), Noriaki Ogawa♦,∗∗∗), Yuji Tachikawa♣,†), and Seiji Terashima♦,††) ♠ Department of Physics, Kyoto University, Kyoto 606-8502, Japan, ♥ Department of Physics, University of California at Santa Barbara, Santa Barbara, CA 93106, USA, ♦ Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan,… (More)

- Tatsuo Azeyanagi, Mitsutoshi Fujita, Masanori Hanada
- Physical review letters
- 2013

The large-N limit of gauge theories has been playing a crucial role in theoretical physics over the decades. Despite its importance, little is known outside the planar limit where the 't Hooft couplingλ = g(YM)(2)N is fixed. In this Letter we consider more general large-N limit--λ grows with N, e.g., g(YM)(2) is fixed. Such a limit is important particularly… (More)

A universal description is proposed for generic viscoelastic systems with a single relaxation time. Foliation preserving diffeomorphisms are introduced as an underlying symmetry which naturally interpolates between the two extreme limits of elasticity and fluidity. The symmetry is found to be powerful enough to determine the dynamics in the first order of… (More)

Gauge/gravity dualities are investigated from the worldsheet point of view. In [2], a duality between 4d SYM and supergravity on AdS5 × S has been partly explained by using an anisotropic scale invariance of worldsheet theory. In this paper, we refine the argument and generalize it to lower dimensional cases. We show the correspondence between the Wilson… (More)

Tatsuo Azeyanagi, Masanori Hanada, Masazumi Honda, Yoshinori Matsuo and Shotaro Shiba Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, U.S.A. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan The Hakubi Center for Advanced Research, Kyoto… (More)