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19922022
most citedRefined BPS state counting from Nekrasov's formula and Macdonald functions

163 citations · 1.5k across the 48 of their papers we have counts for

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48 papers

hep-th2022★ 4 cited

Solitons in Open N=2 String Theory

Masashi Hamanaka, Shan-Chi Huang, Hiroaki Kanno

The open N=2 string theory is defined on the four-dimensional space-time with the split signature (+,+,-,-). The string field theory action of the open N=2 string theory is describ…

hep-th2021★ 4 cited

Quasi-Hopf twist and elliptic Nekrasov factor

Panupong Cheewaphutthisakun, Hiroaki Kanno

We investigate the quasi-Hopf twist of the quantum toroidal algebra of as an elliptic deformation. Under the quasi-Hopf twist the underlying algebra remains the s…

hep-th2021★ 5 cited

MacMahon KZ equation for Ding-Iohara-Miki algebra

Panupong Cheewaphutthisakun, Hiroaki Kanno

We derive a generalized Knizhnik-Zamolodchikov equation for the correlation function of the intertwiners of the vector and the MacMahon representations of Ding-Iohara-Miki algebra.…

hep-th2020

Quiver matrix model of ADHM type and BPS state counting in diverse dimensions

Hiroaki Kanno

We review the problem of BPS state counting described by the generalized quiver matrix model of ADHM type. In four dimensions the generating function of the counting gives the Nekr…

hep-th2020★ 12 cited

Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function

H. Awata, H. Kanno, A. Mironov +1

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…

hep-th2020★ 16 cited

Shiraishi functor and non-Kerov deformation of Macdonald polynomials

H. Awata, H. Kanno, A. Mironov +1

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. Moreo…