NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL

WU Yong-Shi; GE Mo-Lin

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2024年10月30日

Chinese Physics C> 1983, Vol. 7> Issue(4) : 427-436

NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL

WU Yong-Shi ^, ,
GE Mo-Lin

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Abstract：
Based on the Curtright-Zachos's formulation of O(N) Super-chiral model we derive a set of infinitely conserved currents via Noether analysis by introducing an extended local transformation. We show that there appears Kac-Moody-type algebraic structure for the variation 2-dimensional spinor ψ in the theory.

References

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M. Lüscher K. Polmeyer, Nucl. Phys., B137(1978), 46. 有关手征模型方面的总结见乔玲丽:1980年广州基本粒子理论会议文集.[2] E. Brézin et al., Phys. Lett., 82B(1979), 442. Chou-g. G. Song X. C., Seientia Sinica, A25(1982), 716.[3] C. Zachos, Phys. Rev., D21(1980), 3462.[4] D. Gross A. Neveu, Phys. Rev., D10(1974), 3235.[5] P. di Yecchia S. Ferrara, Nucl. Phys., B130(1977), 93. E. Witten, Phys. Rev., D16(1977), 2991. Z. Popowicz L. -L. Chau Wang, Phys. Lett., B98 (1981), 253.[6] L. Curtright C. H. Zachos, Phys. Rev., D21(1980), 411.[7] 乔玲丽, 吴泳时, 侯伯宇, 葛墨林, 中国科学, A10(1982), 907.[8] Hou B. Y., Ge M. L. Wu Y. S., Phys. Reu., D74(1981), 2238.[9] Ge M. L. Wu Y. S, Phys. Lett., B108(1982), 411.[10] L.-L. Chau, Ge M. L. Wu Y. S., Phys. Rev., D25(1982), 1080.[11] L.-L. Chau, Ge M. L. Wu Y. S., Phys. Rev., D25(1982), 1086.[12] L. Dolan A. Roos, Phys. Rev., D22(1980), 2018.[13] V. G. Kac, Math USSR, 2(1968), 127. R.. Moody, J. Algebra, 10(1968), 211.[14] L. Dolan, Rockefeller Preprint, RU81/B5(1981).

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WU Yong-Shi and GE Mo-Lin. NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL[J]. Chinese Physics C, 1983, 7(4): 427-436.

WU Yong-Shi and GE Mo-Lin. NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL[J]. Chinese Physics C, 1983, 7(4): 427-436. 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

NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL

WU Yong-Shi ^,
GE Mo-Lin

Corresponding author: WU Yong-Shi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-08-05

Abstract: Based on the Curtright-Zachos's formulation of O(N) Super-chiral model we derive a set of infinitely conserved currents via Noether analysis by introducing an extended local transformation. We show that there appears Kac-Moody-type algebraic structure for the variation 2-dimensional spinor ψ in the theory.