264 citations · 2.9k across the 87 of their papers we have counts for
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Quantum Algebras and Macdonald Polynomials
H. Awata, H. Kubo, S. Odake +1
We derive a quantum deformation of the algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.
A Quantum Deformation of the Virasoro Algebra and the Macdonald Symmetric Functions
Jun'ichi Shiraishi, Harunobu Kubo, Hidetoshi Awata +1
A quantum deformation of the Virasoro algebra is defined. The Kac determinants at arbitrary levels are conjectured. We construct a bosonic realization of the quantum deformed Viras…
Supersymmetric extension of the sine-Gordon theory with integrable boundary interactions
Takeo Inami, Satoru Odake, Yao-Zhong Zhang
Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrabil…
Integral Representations of the Macdonald Symmetric Functions
Hidetoshi Awata, Satoru Odake, Jun'ichi Shiraishi
Multiple-integral representations of the (skew-)Macdonald symmetric functions are obtained. Some bosonization schemes for the integral representations are also constructed.
A Note on Calogero-Sutherland Model, W_n Singular Vectors and Generalized Matrix Models
H. Awata, Y. Matsuo, S. Odake +1
We review some recent results on the Calogero-Sutherland model with emphasis upon its algebraic aspects. We give integral formulae for excited states (Jack polynomials) of this mod…
Excited States of Calogero-Sutherland Model and Singular Vectors of the Algebra
H. Awata, Y. Matsuo, S. Odake +1
Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular v…