The Quiver Matrix Model and 2d-4d Conformal Connection, Prog. Theor. Phys. (2010) 123 (6): 957-98, 19th (2014) Award for Academic Papers on Physics, The Physical Socienty of Japan

Winner: Hiroshi Itoyama, Kazunobu Maruyoshi and Takeshi Oota

Mar 2010

Closed conformal Killing-Yano tensor and the uniqueness of generalized Kerr-NUT-de Sitter spacetime, 2009 Class. Quantum Grav. 26, 045015, CQG Highlights of 2008/2009, a Highlighted Regular paper, CQG Editorial Board

Winner: Tsuyoshi Houri, Takeshi Oota and Yukinori Yasui

Jan 2008

Some properties of Kerr-NUT-de Sitter spacetime, OCAMI Association Special Prize, OCAMI Association

We study the partition function of the matrix model of finite size that
realizes the irregular conformal block for the case of the
supersymmetric gauge theory with . This model has been obtained
in [arXiv:1008.1861 [he...

J. Phys. A: Math. Theor. 50(36) 365401 Aug 2017 [Refereed]

We argue that the level-1 elliptic algebra Uq,p(gˆ) is a dynamical symmetry realized as a part of 2d/5d correspondence where the Drinfeld currents are the screening currents to the q-Virasoro/W block in the 2d side. For the case of Uq,p(slˆ(2)), t...

International Journal of Modern Physics A 32(11) 1750056 [23 pages] Apr 2017 [Refereed]

A set of Schwinger-Dyson equations forming constraints for at most three resolvent functions are considered for a class of Chern-Simons matter matrix models with two nodes labelled by a non-vanishing number n. The two cases n=2 and n=−2 label resp...

J. Phys. A: Math. Theor. 49(34) 345201 Jul 2016 [Refereed]

The five-dimensional AGT correspondence implies the connection between the q-deformed Virasoro block and the 5d Nekrasov partition function. In this paper, we determine a q-deformation of the four-point block in the Coulomb gas representation from...

We demonstrate that the parafermions appear in the r-th root of unity limit of q-Virasoro/W(n) algebra. The proper value of the central charge of the coset model slˆ(n)r⊕slˆ(n)_{m-n}/slˆ(n)_{m−n+r} is given from the parafermion construction of the...

We propose and demonstrate a limiting procedure in which, starting from the
q-lifted version (or K-theoretic five dimensional version) of the (W)AGT
conjecture to be assumed in this paper, the Virasoro/W block is generated in
the r-th root of unit...

We introduce An(1) (n=1,2,...) affine quiver matrix model by simply adopting
the extended Cartan matrices as incidence matrices and study its finite N
Schwinger-Dyson equations as well as their planar limit. In the case of n=1, we
extend our analy...

Phys.Rev.D 82(8) 085031 [10 pages] Oct 2010 [Refereed]

We consider a series of massive scaling limits m_1 -> infty, q -> 0, lim m_1
q = Lambda_{3} followed by m_4 -> infty, Lambda_{3} -> 0, lim m_4 Lambda_{3} =
(Lambda_2)^2 of the beta-deformed matrix model of Selberg type (N_c=2, N_f=4)
which reduce ...

We observe that, at beta-deformed matrix models for the four-point conformal
block, the point q=0 is the point where the three-Penner type model becomes a
pair of decoupled two-Penner type models and where, in the planar limit, (an
array of) two-c...

Prog. Theor. Phys. 123(6) 957-987 Jun 2010 [Refereed]

19th (2014) Award for Academic Papers on Physics, the Physical Socienty of Japan.

We review the quiver matrix model (the ITEP model) in the light of the recent
progress on 2d-4d connection of conformal field theories, in particular, on the
relati...

J. Phys.: Conf. Ser. 474 012022 [13 pages] Nov 2013 [Refereed]

We propose a limiting procedure in which, starting from the q-lifted version
(or K-theoretic five dimensional version) of the (W)AGT conjecture to be assumed,
the Virasoro/W block is generated in the r-th root of unity limit in q in the 2d side,...

The -deformed matrix models of Selberg type are introduced. They are exactly calculable by using the Macdonald-Kadell formula. With an appropriate choice of the integration contours and interactions, the partition function of the matrix mod...

The Nihon Butsuri Gakkaishi (Butsuri) 56(2) 118-121 Feb 2001 [Invited]

The two-dimensional Ising model has been studied since the work of Onsager. It is well-known that this model is equivalent to a free fermion field theory. Because of this property, some correlation functions can be written in terms of the determin...