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pro vyhledávání: '"Awata, Hidetoshi"'
Autor:
Awata, Hidetoshi, Hasegawa, Koji, Kanno, Hiroaki, Ohkawa, Ryo, Shakirov, Shamil, Shiraishi, Jun'ichi, Yamada, Yasuhiko
Publikováno v:
SIGMA 20 (2024), 077, 55 pages
We show that Shakirov's non-stationary difference equation, when it is truncated, implies the quantum Knizhnik-Zamolodchikov ($q$-KZ) equation for $U_{\mathsf v}\bigl(A_1^{(1)}\bigr)$ with generic spins. Namely, we can tune mass parameters so that th
Externí odkaz:
http://arxiv.org/abs/2309.15364
Autor:
Awata, Hidetoshi, Hasegawa, Koji, Kanno, Hiroaki, Ohkawa, Ryo, Shakirov, Shamil, Shiraishi, Jun'ichi, Yamada, Yasuhiko
Publikováno v:
SIGMA 19 (2023), 089, 47 pages
We show the relation of the non-stationary difference equation proposed by one of the authors and the quantized discrete Painlev\'e VI equation. The five-dimensional Seiberg-Witten curve associated with the difference equation has a consistent four-d
Externí odkaz:
http://arxiv.org/abs/2211.16772
Autor:
Awata, Hidetoshi, Kanno, Hiroaki, Mironov, Andrei, Morozov, Alexei, Morozov, Andrey, Ohkubo, Yusuke, Zenkevich, Yegor
Publikováno v:
Phys. Rev. D 96, 026021 (2017)
We derive the generalization of the Knizhnik-Zamolodchikov equation (KZE) associated with the Ding-Iohara-Miki (DIM) algebra U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1). We demonstrate that certain refined topological string amplitudes satisfy these
Externí odkaz:
http://arxiv.org/abs/1703.06084
Autor:
Awata, Hidetoshi, Kanno, Hiroaki, Mironov, Andrei, Morozov, Alexei, Morozov, Andrey, Ohkubo, Yusuke, Zenkevich, Yegor
Publikováno v:
Journal of High Energy Physics, 2016(10), 1-49
R-matrix is explicitly constructed for simplest representations of the Ding-Iohara-Miki algebra. The calculation is straightforward and significantly simpler than the one through the universal R-matrix used for a similar calculation in the Yangian ca
Externí odkaz:
http://arxiv.org/abs/1608.05351
Autor:
Awata, Hidetoshi, Kanno, Hiroaki, Matsumoto, Takuya, Mironov, Andrei, Morozov, Alexei, Morozov, Andrey, Ohkubo, Yusuke, Zenkevich, Yegor
Publikováno v:
Journal of High Energy Physics, 07 (2016) 1-67
Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially si
Externí odkaz:
http://arxiv.org/abs/1604.08366
In this paper, we consider the $q \rightarrow 0$ limit of the deformed Virasoro algebra and that of the level 1, 2 representation of Ding-Iohara-Miki algebra. Moreover, 5D AGT correspondence at this limit is discussed. This specialization corresponds
Externí odkaz:
http://arxiv.org/abs/1512.08016
Akademický článek
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Publikováno v:
Prog. Theor. Exp. Phys. (2013) 053B04
We study the partition function of the N=6 supersymmetric U(N_1)_k x U(N_2)_{-k} Chern-Simons-matter (CSM) theory, also known as the ABJ theory. For this purpose, we first compute the partition function of the U(N_1) x U(N_2) lens space matrix model
Externí odkaz:
http://arxiv.org/abs/1212.2966
Following a recent paper by Alday and Tachikawa, we compute the instanton partition function in the presence of the surface operator by the localization formula on the moduli space. For SU(2) theories we find an exact agreement with CFT correlation f
Externí odkaz:
http://arxiv.org/abs/1008.0574
Autor:
Awata, Hidetoshi, Yamada, Yasuhiko
Publikováno v:
Prog.Theor.Phys.124:227-262,2010
We discuss an analog of the AGT relation in five dimensions. We define a q-deformation of the beta-ensemble which satisfies q-W constraint. We also show a relation with the Nekrasov partition function of 5D SU(N) gauge theory with N_f=2N.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1004.5122