We propose the q-deformation of the Gamayun-Iorgov-Lisovyy formula for the Painlevé τ function. Namely, we propose the formula for the τ function for the q-difference Painlevé equation corresponding to the surface (and the symmetry) in the Sakai classification. In this formula, the τ function equals the series of q-Virasoro Whittaker conformal blocks (equivalently, the Nekrasov partition functions for pure SU(2) 5d theory).
Q-deformed Painlevé τ function and q-deformed conformal blocks / Bershtein, Mikhail; Shchechkin, Anton. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 50:8(2017). [10.1088/1751-8121/aa5572]
Q-deformed Painlevé τ function and q-deformed conformal blocks
Bershtein Mikhail;Shchechkin Anton
2017-01-01
Abstract
We propose the q-deformation of the Gamayun-Iorgov-Lisovyy formula for the Painlevé τ function. Namely, we propose the formula for the τ function for the q-difference Painlevé equation corresponding to the surface (and the symmetry) in the Sakai classification. In this formula, the τ function equals the series of q-Virasoro Whittaker conformal blocks (equivalently, the Nekrasov partition functions for pure SU(2) 5d theory).| File | Dimensione | Formato | |
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