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- W3100872362 abstract "We construct the general solution of a class of Fuchsian systems of rank N as well as the associated isomonodromic tau functions in terms of semi-degenerate conformal blocks of $$W_N$$-algebra with central charge $$c=N-1$$. The simplest example is given by the tau function of the Fuji–Suzuki–Tsuda system, expressed as a Fourier transform of the 4-point conformal block with respect to intermediate weight. Along the way, we generalize the result of Bowcock and Watts on the minimal set of matrix elements of vertex operators of the $$W_N$$-algebra for generic central charge and prove several properties of semi-degenerate vertex operators and conformal blocks for $$c=N-1$$." @default.
- W3100872362 created "2020-11-23" @default.
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- W3100872362 date "2019-09-14" @default.
- W3100872362 modified "2023-10-13" @default.
- W3100872362 title "Higher-rank isomonodromic deformations and W-algebras" @default.
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- W3100872362 doi "https://doi.org/10.1007/s11005-019-01207-6" @default.
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