Elliptic algebra $A_{q,p}(\hat{sl_2})$ in the scaling limit

Details Elliptic algebra $A_{q,p}(\hat{sl_2})$ in the scaling limit Elliptic algebra $A_{q,p}(\hat{sl_2})$ in the scaling limit

1997-02-02

arxiv.org/abs/q-alg/9702002v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex 2.09, 3 fig. under bezier.sty, macros uses AMS fonts, 27 pages

Scientific paper

10.1007/s002200050254

The scaling limit $A_{\hbar,\eta}(\hat{sl_2})$ of the elliptic algebra $A_{q,p}(\hat{sl_2})$ is investigated. The limiting algebra is defined in terms of a continuous family of generators being Fourier harmonics of Gauss coordinates of the $L$-operator. Ding-Frenkel isomorphism between $L$-operator's and current descriptions of the algebra $A_{\hbar,\eta}(\hat{sl_2})$ is established and is identified with the Riemann problem on a strip. The representations, coalgebraic structure and intertwining operators of the algebra are studied.

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