INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru; LI Wei

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(4) : 320-327

INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru ^, ,
LI Wei

Institute of Modern Physics,Northwest University,Xian

Abstract
HTML
Reference
Related

PDF

Abstract：
This paper shows a new symmetric transformation——C transformation in super principal chiral model and discover an infinite dimensional Lie algebra related to the Virasoro algebra without central extension.By using the Riemann-Hibert transformation.The physical origination of C transformation is discussed.

References

[1]

L. Dolan and A. Roos, Physical Rev., D22(1980), 2018.[2] B. Y. Hou Yale preprint 80-29(1930) (unpublished). B. Y. Hou, hi. L. Ge and S. Y. Wu, Phys. Rev, D24(1981), 2238.[3] L. Dolan, Phys. Rev. Lerr., 47(1981), 1371.[4] M. L. Ge and Y. S. Wu Phys., Lett., B108 (1982), 411.[5] C. Devchand and D. B. Fairlie, Nucl. Phys., B194 (1982), 232.[6] K. Ueno and Y. Nakamura, Phys., B117(1982), 208.[7] Y. S. Wu, Nucl. Phys., B211 (1983), 160; Commum. Meth. Phys., 90(1983), 461.[8] P. Forgacs, Z. Haruath and P. Palla, Phys. Rev., D23(1981), 1876.[9] L. L. Chau, M. L. Ge and Y. S. Wu, Phys. Rev., D25(1982), 1086; 1080.[10] K. Ueno and Y. Nakamura, Phys. Lett,, B109(1982), 273.[11] L. L. Chau and Y. S. Wu, Phys. Rev., D26(1982), 3581.[12] L. L. Chau, M. L. Ge, A. Sinha and Y. S. Wu, Phys, Lett., B121(1983), 391.[13] R. Geroch, J. Math. Phys,, 12(1971), 918; 13(1972), 394.[14] W. Kinncrsley and D. M. Chitte, J. Marh. Phys., 18(1977), 1926;19(1978), 1926.[15] L. Hauser and F. J. Frnst, J. Marh. Phys., 21(1980), 1126.[16] Y. S. Wu and M. L. Ge, J . Marh. Phys, 24(1983), 1187.[17] B. Y. Hou and W. Li, to appear in proceding of integrable problm in Naikei University (published in Singapore).[18] B. Y. Hou and W. Li, to appear in J. Phys. A. Marh. Gen., 20(1987).[19] P. Goddard and D. Olive, Intern. J. Mod. Phys, A1 (1986), 303.[20] Z. Popowicz and L. L. Chau Wang, Phys. Lett, B98(1981), 253.[21] B. Y. Hou, B. Y. Hou and P. Wang, Intern. J. Mod., Al. No. 1 (1986), 193.[22] B. Y. Hou and W. Li, Lett. Moth Phys, 13(1987), 1.[23] B. Y. Hou and W. Li, NWU-IMP-86-7, (1986).[24] 侯伯字、李卫，高能物理与核物理，Vol, 11(1987),137.

[1]	ZHENG Kai , WANG Jun-Hua , LIU Zu-Ping , LI Wei-Min , SUN Bao-Gen , LIU Jian-Hong , YANG Yong-Liang , ZHOU Ze-Ran , CHEN Yuan-Bo , HUANG Long-Jun . Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System. Chinese Physics C, 2007, 31(3): 307-310.
[2]	JIA Wen-Zhi , WANG Shun-Jin . The Supersymmetry and Eigen Energy Spectrum of a Charged Dirac Particle in a Uniform Constant Magnetic Field. Chinese Physics C, 2006, 30(6): 530-536.
[3]	HUANG Bo-Wen . Supersymmetry of a Double Ring-Shaped Oscillator. Chinese Physics C, 2003, 27(9): 770-774.
[4]	Wang Deyun , Huang Bowen . Solve for Energy Spectrum and Function of Ring-Shaped Oscillator by Using Supersymmetry and Shape Invariance. Chinese Physics C, 1999, 23(11): 1078-1082.
[5]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[6]	Yu Youwen , Zhang Zongye , Shen Pengnian , Dai Lianrong . Effective Quark-Quark Interaction and Chiral Symmetry. Chinese Physics C, 1995, 19(5): 431-437.
[7]	ZHAO Liu . From Integrability to Conformal Symmetry: Bosonic Superconformal Toda Theories. Chinese Physics C, 1993, 17(5): 431-443.
[8]	ZHAO Liu , YANG Wen-Li . Bosonic Superconformal Toda Model and Dressing Transformation. Chinese Physics C, 1993, 17(4): 338-344.
[9]	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.
[10]	LOU Sen-Yue . Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴ Model. Chinese Physics C, 1991, 15(9): 797-803.
[11]	BAO Shu-Qing , XUE Xiao-Zhou . ANALYSIS OF THE CHIRALITY IN SU(N) CRAND UNIFIED PREON MODELS. Chinese Physics C, 1990, 14(12): 1073-1080.
[12]	LUO Yu-Bing , HU Shi-Ke . THE SYMMETRY BREAKING OF THE SUPERSTRING-INSPIRED MODEL. Chinese Physics C, 1990, 14(2): 118-125.
[13]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[14]	HAO San-Ru , LI Wei . SYMMETRIES OF CONFORMAL TRANSFORMATION FOR SPECTRAL PARAMETER. Chinese Physics C, 1989, 13(2): 120-127.
[15]	LIU Bao-Hua , LI Jia-Rong . SELF-CONSISTENCY EQUATIONS FOR THE ORDER PARAMENTER AND THE RESTORATION OF THE CHIRAL SYMMETRY. Chinese Physics C, 1988, 12(4): 471-476.
[16]	ZHU Chao-Yuan , HU Shi-Ke . EFFECTIVE-POTENTIAL STUDY OF DYNAMICAL CHIRAL SYMMETRY BREAKING IN QUANTUM CHROMODYNAMICS. Chinese Physics C, 1987, 11(4): 451-461.
[17]	ZHENG Zhe-Zhu , LIN Jin-Hu . THE FOUR-DIMENSION ANTI-SELF-DUAL EQUATION AND RIEMAN-HILBERT TRANSFOR MATION. Chinese Physics C, 1986, 10(4): 434-437.
[18]	WU Yong-Shi , GE Mo-Lin , LU Chun-Rong . THE PRINCIPAL CHIRAL MODEL FORMULATION OF ERNST EQUATION AND SDYM EQUATION. Chinese Physics C, 1984, 8(4): 409-415.
[19]	WU Yong-Shi , GE Mo-Lin . NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL. Chinese Physics C, 1983, 7(4): 427-436.
[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

HAO San-Ru and LI Wei. INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL[J]. Chinese Physics C, 1989, 13(4): 320-327.

HAO San-Ru and LI Wei. INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL[J]. Chinese Physics C, 1989, 13(4): 320-327. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2287)
PDF Downloads(432)
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

INFINITE CONFORMAL SYMMETRIES AND RIEMANN-HILBERT TRANSFORMATION IN SUPER PRINCIPAL CHIRAL MODEL

HAO San-Ru ^,
LI Wei

Corresponding author: HAO San-Ru,

Institute of Modern Physics,Northwest University,Xian

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-04-05

Abstract: This paper shows a new symmetric transformation——C transformation in super principal chiral model and discover an infinite dimensional Lie algebra related to the Virasoro algebra without central extension.By using the Riemann-Hibert transformation.The physical origination of C transformation is discussed.