Showing math-phShow all
3 papers · 1 filter
math-ph2026
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…
math-ph2026
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…
math-ph2026
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…