Zobrazeno 1 - 10
of 3 162
pro vyhledávání: '"Kanno, H"'
We introduce a unital associative algebra ${\mathcal{SV}ir\!}_{q,k}$, having $q$ and $k$ as complex parameters, generated by the elements $K^\pm_m$ ($\pm m\geq 0$), $T_m$ ($m\in \mathbb{Z}$), and $G^\pm_m$ ($m\in \mathbb{Z}+{1\over 2}$ in the Neveu-S
Externí odkaz:
http://arxiv.org/abs/2407.00901
Publikováno v:
J. High Energ. Phys. 2020 (2020) 150
As a development of arXiv:1912.12897, we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic system (Dell). The lacking parameter can be provided by substituting e
Externí odkaz:
http://arxiv.org/abs/2005.10563
Publikováno v:
Eur. Phys. J. C80 (2020) 994
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreover, this generalization is valid for the entire Shiraishi series, not
Externí odkaz:
http://arxiv.org/abs/2002.12746
Publikováno v:
J. High Energ. Phys. 2020, 212 (2020)
The mother functions for the eigenfunctions of the Koroteev-Shakirov version of quantum double-elliptic (Dell) Hamiltonians can be presented as infinite series in Miwa variables, very similar to the recent conjecture due to J. Shiraishi. Further stud
Externí odkaz:
http://arxiv.org/abs/1912.12897
Publikováno v:
Nuclear Physics B 949 (2019) 114816
We make a new attempt at the recently suggested program to express knot polynomials through topological vertices, which can be considered as a possible approach to the tangle calculus: we discuss the Macdonald deformation of the relation between the
Externí odkaz:
http://arxiv.org/abs/1905.00208
Publikováno v:
JHEP 2019 (2019) 97
We introduce an $R$-matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra $U_{q,t}(\widehat{\widehat{\mathfrak{gl}}}_1)$. This $R$-matrix acts on pairs of $3d$ Young diagrams and retains the nice symmetry o
Externí odkaz:
http://arxiv.org/abs/1810.07676
Publikováno v:
Phys. Rev. D 98, 046018 (2018)
The recently suggested tangle calculus for knot polynomials is intimately related to topological string considerations and can help to build the HOMFLY-PT invariants from the topological vertices. We discuss this interplay in the simplest example of
Externí odkaz:
http://arxiv.org/abs/1806.01146
Publikováno v:
J. High Energ. Phys. 2018 (2018) 192
We describe the general strategy for lifting the Wess-Zumino-Witten model from the level of one-loop Kac-Moody $U_q(\widehat{\mathfrak{g}})_k$ to generic quantum toroidal algebras. A nearly exhaustive presentation is given for the two series $U_{q,t}
Externí odkaz:
http://arxiv.org/abs/1712.08016
Publikováno v:
Nucl.Phys. B918 (2017) 358-385
We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a nontrivial, but essentially abelian anomaly cocycle, which we explici
Externí odkaz:
http://arxiv.org/abs/1611.07304
Autor:
Itoyama, H., Kanno, H.
Publikováno v:
Nucl.Phys.B686:155-164,2004
N=2 supersymmetric U(N) Yang-Mills theory softly broken to N=1 by the superpotential of the adjoint scalar fields is discussed from the viewpoint of the Whitham deformation theory for prepotential. With proper identification of the superpotential we
Externí odkaz:
http://arxiv.org/abs/hep-th/0312306