h-Miura Transformation in the DYh(sl2)k Case

Ding Xiangmao; Hou Boyu; Zhao Liu

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2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(8) : 697-705

h-Miura Transformation in the DY_h(sl₂)_k Case

Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 1000802 Institute of Modern Physics Northwest University,Xi'an 710069

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Abstract：
The h-analogue of the Sugawara operater is constructed for the Yangian double with central extension in the sl₂ case.Using the free fields realization of the quantum currents,the h-analogue Miura transformation is obtained.

References

[1]IA.A.Belavin,A.M.Polyakov,A,B.Zamolodchikov,Nucl.Phys.,B241（1984）333.[2]M.Jimbo,T.Miwa,Algebraic Analysis of Solvable Lattice Modes.CBMS Regional Conferencc Series in Mathematics,val.85,AMS（1994）.[3]E.Frenkel,N.Reshetikhin,Commun,Math.Phys.,178（1996）237;q-alg/9505025.[4]S.Lukyanov,Y.Pugai,Bosonization of ZF Algebras:Drection Toward Deformed Virasoro Algebra,hep-th/9412128; S.Lukyanov, A Note on the Deformed Virasoro Algebra, hep-th/9509037.[5]J.Shiraishi, H. Kubo, H. Awata Math. Lett. Math Phys，.，38 (1996)33; q-alg/9507034.[6]S. M. Khoroshkin, V. N. Tolsty, Letl. Math. Phys, 36(1996)373.[7]S. M. Khoroshkin, Central Extension of the Yangian Double, q-alg/9602031.[8]K. Iohura, M. Kohno, Letl. Math. Phys., 37(1996)319.[9]F. A. Sminov, Internet. J. Mocl. Phys., A. Suppl, 1B(1992)813; 839[10]N. Yu. Reshetikhin,M A. Semenov-Tian-Shansky, lett. Math. Phys., 19(1990)33.[11]J. Ding, I. B. Frenkel, Commun. Math. Phys., 156(1993)277.[12]H. Kormo, Free Fclel Representation of Level-k Yangian Double D Y(sl2)k and Deformation of WakimotoModules, Lett Math. Phys., to appear.

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Ding Xiangmao, Hou Boyu and Zhao Liu. h-Miura Transformation in the DY_h(sl₂)_k Case[J]. Chinese Physics C, 1997, 21(8): 697-705.

Ding Xiangmao, Hou Boyu and Zhao Liu. h-Miura Transformation in the DY_h(sl₂)_k Case[J]. Chinese Physics C, 1997, 21(8): 697-705. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

h-Miura Transformation in the DY_h(sl₂)_k Case

Corresponding author: Ding Xiangmao,

Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 1000802 Institute of Modern Physics Northwest University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-08-05

Abstract: The h-analogue of the Sugawara operater is constructed for the Yangian double with central extension in the sl₂ case.Using the free fields realization of the quantum currents,the h-analogue Miura transformation is obtained.