arXiv subjects

Yuji Hara

Publications and source records attributed to Yuji Hara.

3 recordsLinked to original sources

arXiv2003

Affine Analogue of Jack's Polynomials for \hat{sl}_2

Affine analogue of Jack's polynomials introduced by Etingof and Kirillov Jr. is studied for the case of \hat{sl}_2. Using the Wakimoto representation, we give an integral formula of elliptic Selberg type for the affine Jack's polynomials. From this integral formula, the action of SL_2(Z) on the space of the affine Jack's polynomials is computed. For simple cases, we write down the affine Jack's polynomials in terms of some modular and elliptic functions.

math.QA↗

arXiv2000

Correlation functions of the XYZ model with a boundary

Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-Baxter equation. For the case of diagonal K-matrix, our formulae reproduce the one-point function previously obtained by solving boundary version of quantum Knizhnik-Zamolodchikov equation.

math-ph↗

arXiv1998

Free Field Realization of Vertex Operators for Level Two Modules of $U_q(\hat{sl(2)})$

Free field relization of vertex operators for lvel two modules of $U_q(\hat{sl(2)})$ is shown through the free field relization of the modules given by Idzumi in Ref.[4,5]. We constructed types I and II vertex operators when the spin of the addociated evaluation modules is 1/2 and typ II's for the spin 1.

math.QA↗