Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 50, Issue 8, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/aa5572
Keywords
Sakai's classification; Nekrasov partition functions; difference Painleve equations; bilinear equations
Categories
Funding
- Russian Academic Excellence Project [5-100]
- NASU-CNRS project [F14-2016]
- Young Russian Mathematics
- RFBR [15-32-20974]
- Russian Science Foundation [14-12-01383]
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We propose the q-deformation of the Gamayun-Iorgov-Lisovyy formula for the Painleve tau function. Namely, we propose the formula for the t function for the q-difference Painleve equation corresponding to the A(7)((1))' surface (and the A(1)((1)) symmetry) in the Sakai classification. In this formula, the tau function equals the series of q-Virasoro Whittaker conformal blocks (equivalently, the Nekrasov partition functions for pure SU(2) 5d theory).
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