47 citations · 202 across the 19 of their papers we have counts for
19 papers
Neveu--Schwarz Irregular Vertex Operators, Decomposition Theorems, and Bilinear Operators
Hajime Nagoya
We construct rank-zero irregular vertex operators for the Neveu--Schwarz algebra as linear maps between irregular Verma modules of the same rank satisfying the usual superconformal…
Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks
Kohei Iwaki, Hajime Nagoya, Ayato Shukuta
For the Heun differential equation and all of its confluent equations, we derive formal series expansions of the accessory parameters using the Voros periods. We then compare these…
Existence and Uniqueness of Irregular Vectors of Integer and Half-Integer Ranks for the Virasoro Algebra
Hajime Nagoya
Although irregular vectors for the Virasoro algebra are widely used in modern mathematical physics, a rigorous existence and uniqueness theorem in arbitrary rank has not been avail…
Degeneration limits of Virasoro vertex operators and Painlevé tau functions
Hajime Nagoya, Haruki Nakagawa
We construct degeneration limits of vertex operators for the Virasoro algebra. Our method relies on the rearranged expansion of compositions of vertex operators together with their…
On -Isomonodromic Deformations and -Nekrasov Functions
Hajime Nagoya
We construct a fundamental system of a -difference Lax pair of rank in terms of 5d Nekrasov functions with . Our fundamental system degenerates by the limit to…
Connection problem for the generalized hypergeometric function
Y. Matsuhira, H. Nagoya
We solve connection problem between fundamental solutions at singular points and for the generalized hypergeometric function, using analytic continuation of the integral re…