129 citations · 354 across the 36 of their papers we have counts for
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Integrality of the simple Hurwitz numbers
Shintarou Yanagida
We show the integrality of the simple Hurwitz numbers. The main tool is the cut-and-join operator, and our proof is a purely combinatorial one.
Norm of the Whittaker vector of the deformed Virasoro algebra
Shintarou Yanagida
We give a proof of the recursive formula on the norm of Whittaker vector of the deformed Virasoro algebra, which is an analog of the one for the Virasoro Lie algebra proposed by Al…
Whittaker vector of deformed Virasoro algebra and Macdonald symmetric functions
Shintarou Yanagida
We give a proof of Awata and Yamada's conjecture for the explicit formula of Whittaker vector of the deformed Virasoro algebra realized in the Fock space. The formula is expressed…
Classical and quantum conformal field theories
Shintarou Yanagida
Following the formuation of Borcherds, we develop the theory of (quantum) vertex algebras, including several concrete examples. We also investigate the relationship between the ver…