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

Abstract
HTML
Reference
Related

PDF

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

[1]

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).

[1]	C.Sasaki¹,B.Friman¹,K.Redlich². Fluctuations and the Phase Transition in a Chiral Model with Polyakov Loops. Chinese Physics C, 2007, 31(12): 1141-1144.
[2]	SHEN Peng-Nian,GUO Feng-Kun,JIANG Huan-Qing,ZOU Bing-Song. D₀Non-strange 0⁺Heavy Mesons Have Molecular Structure in the Heavy Chiral Unitary Approach. Chinese Physics C, 2007, 31(9): 870-873.
[3]	WANG Shu-Nuan. 1keV—200MeV A>24 Nucleon Phenomenological Local and Non-local Spherical Optical Potentials. Chinese Physics C, 2006, 30(S2): 238-240.
[4]	LU Xiao,Bai Ying,YANG Yong-Xu,SHEN Peng-Nian. Study About the Binding Energy of Light Hypernuclei 5ΛHe,4ΛHe and 4ΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2005, 29(7): 668-672.
[5]	LI Zi-Ping,LI Rui-Jie. Generalized Ward Identities for Non-local Transformation. Chinese Physics C, 2002, 26(2): 122-128.
[6]	LI Zi-Ping. Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[7]	ZHANG Miao-Jing,SHEN Peng-Nian,LIU Xian-Hui,KONG Fan-Xin. Study about Light Hypernuclei and YN Interaction Based on Chiral SU(3) Quark Model. Chinese Physics C, 2001, 25(8): 743-753.
[8]	SONG Hong-Qiu,ZHANG Li-Liang,SU Ru-Keng,WANG Ping. Strange Hadronic Matter in A Chiral Model. Chinese Physics C, 2000, 24(S1): 95-99.
[9]	LIU XianHui. Alpha Cluster Structure of Hypernuclei and Λ-Seperate Energy of Λ17O. Chinese Physics C, 2000, 24(8): 739-742.
[10]	Xi Xiaoqiang,Shi Kangjie,Hou Boyu,Fan Heng. Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[11]	Yun Xiuqing,Zhang Zongye,Yu Youwen,Shen Pengnian. Structure of Dibaryon in Chiral-Quark Model. Chinese Physics C, 1998, 22(8): 718-725.
[12]	Wang Yanshen,Hou Boyu. The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(10): 892-901.
[13]	SHEN Kun,QIU Zhong-Ping. Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[14]	HOU Bo-Yu,ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅱ)An Example. Chinese Physics C, 1993, 17(3): 241-251.
[15]	HOU Bo-Yu,ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework. Chinese Physics C, 1993, 17(1): 28-37.
[16]	ZHANG Qing-Lan,QIU Xi-Jun. Glant Monopole and Quadrupole States in a Chiral Breaking Field Theory. Chinese Physics C, 1992, 16(7): 615-622.
[17]	GAO Xiao-Chun,XU Jing-Bo,YAN Ji-Jin,LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[18]	MA Zhong-Qi,HOU Bo-Yuan,HOU Bo-Yu. XXZ Model and the Structure of the Symmetric Algebra. Chinese Physics C, 1991, 15(9): 812-821.
[19]	HAO San-Ru,LI Wei. INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL. Chinese Physics C, 1989, 13(4): 320-327.
[20]	ZHANG QI-REN. PARTIAL RESTORATION OF THE CHIRAL SYMMETRY AND THE π CONDENSATION IN NUCLEAR MATTER. Chinese Physics C, 1981, 5(3): 314-320.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3304)
PDF Downloads(391)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
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.