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math.QA2014★ 8 cited
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…
math.QA2014
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…
math.QA2014
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…