Hajime Nagoya
Published 2018-04-13Version 1
We prove a conjecture on uniqueness and existence of the irregular vertex operators of rank $r$ introduced in our previous paper. We also introduce ramified irregular vertex operators of the Virasoro algebra. As applications, we give conjectural formulas for series expansions of Painlev\'e III and II tau functions in terms of our ramified irregular conformal blocks.
Comments: 11 pages, submitted to a proceeding of the workshop "Meeting for Study of Number theory, Hopf algebras and related topics", Toyama, 12-15 February 2017
Formal rigidity of the Witt and Virasoro Algebra
Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation
From the Conformal Anomaly to the Virasoro Algebra
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