Central Extension of the Quantum Deformed Virasoro Algebra

HU Zhan-Ning

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(10) : 898-905

Central Extension of the Quantum Deformed Virasoro Algebra

HU Zhan-Ning ^,

Institute of Modern Physics,Xibei University,Xi'an 710069

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Abstract：
The quantum deformation of the Jacobi identity was presented and the central extension of the q-deformed Virasoro algebra was found when q is a root of unit.The explicit expressions of the central terms have been obtained with the Beraha q values.

References

[1]

L. D. Faddeev, in: Les Houches Lectures 1982 (Elsevier, Amsterdam 1984).[2] P. P. Kulish and E. K. Sklyanin, Lecture Notes in Physics, 151(1982), 61.[3] V. Drinfeld, Sov. Math. Dokl., 32(1985), 254.[4] M. Jimbo, Lett. Math. Phys., 10(1985), 63; 11(1986), 247.[5] E. Witten, Institute for Advanced Study preprint IASSNS-HEP-89/32; Nucl. Phys., B330(1990), 285.[6] M. Jimbo, Int. J. Mod. Phys., A4(1989), 3759.[7] M. Rosso, Commun. Math. Phys., 117(1988), 581.[8] P. Roche and D. Arnaudon, Lett. Math. Phys., 17(1989), 295.[9] L. Avarez-Gaume, C. Gomez and G. Sierra, Phys. Lett., B220(1989), 142; Nucl. Phys., B319(1989), 155.[10] Bo-Yu Hou, Bo-Yan Hou and Z. Q. Ma, Common. Theor. Phys., 13(1990), 181; 13(1990), 341.[11] P. Kulish and N. Reshetikhih, Lett. Math. Phys., 18(1989), 143.[12] T. Curtright and C. Zachos, Phys. Lett., B243(1990), 237.[13] C. Zachos, preprint ANL-HEP-PR-90-61; ANL-HEP-CP-90-43.[14] L. Liao and X. C. Song, Commun. Theor. Phys., 13(1990), 209.[15] M. Chaichian, P. Kulish and J. Lukierski, Phys. Lett., B237(1990), 401.[16] N, Aizawa and H. Sato, preprint HUPD-9012 July (1990).[17] P. P. Martin, J. Phys. d: Marh. Gen., 21(1988), 577.[18] Bo-Yu Hou, Bo-Yuan Hou and Z. Q. Ma, preprint BIHEP-TH-90-31.[19] V. Pasquier and H. Saleur, Nucl, Phys., B330(1990), 523.[20] P. Goddard; and D. Olive, Int. J. Mod: Phys., A1(1986), 303.

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HU Zhan-Ning. Central Extension of the Quantum Deformed Virasoro Algebra[J]. Chinese Physics C, 1991, 15(10): 898-905.

HU Zhan-Ning. Central Extension of the Quantum Deformed Virasoro Algebra[J]. Chinese Physics C, 1991, 15(10): 898-905. 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

Central Extension of the Quantum Deformed Virasoro Algebra

HU Zhan-Ning ^,

Corresponding author: HU Zhan-Ning,

Institute of Modern Physics,Xibei University,Xi'an 710069

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-10-05

Abstract: The quantum deformation of the Jacobi identity was presented and the central extension of the q-deformed Virasoro algebra was found when q is a root of unit.The explicit expressions of the central terms have been obtained with the Beraha q values.