Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu; ZHAO Liu

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> 1993, Vol. 17> Issue(1) : 28-37

Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu ^, ,
ZHAO Liu

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

Abstract
HTML
Reference
Related

PDF

Abstract：
We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.

References

[1]

J. Balog, L. Feher, L. O}Raifeartsigh, P. Forgacs and A. Wipf, Phys. Lett., B227 (1989), 214,Ann. Phys.203(1991).76[2]Aratyn, L. A. Ferreira, J. F. Gomes and A. H. Zimerman, IFT/P-24/90.[3]T. Inami, KUNS 1038, HE (TH) 90/14.[4]L. O'Raifeartaigh and A. Wipf, DIAS-STP-90-19, ETH-TH/90-20.[5]L. O'RaiFeartaigh, DIAS-STP-90-43,; DIAS-S3'P-9Q-,45.[6]L.O'Raifeartaigh, P. Ruelle, I. Tsutaui and A. Wipf, DIAS-STP-91-03.[7]L. Feher, L. O'Raifeartaigh, P. Ruelle, I. Tsutsui and A. Wipf, DIAS-STP-91一17.[8]J. Fachs, Phys. Lett., B262 (1991)', 249.[9]F. A. Bias, T. Tjin, P. van Dtiel, Nucl. Phys, B357 (1491), 632.[10]L. Chao, NWU/IMP/910525.[11]M. Bershadsky, IASSNS-HEP-90/44.[12]A. B. Zamolodchikov, Tbtort. Mash. Phys., 63 (1985), 1205.[13]V, A. Fatteev and A. B. Zamolodchikov, Nucl. Phys., B280 (1987), 644.[14]A. B. Zamolodchikov, lnt. J. Mod. Phys., A4 (1989), 4235.[15]T. Eguchiand S. K. Yang, Phys. Lett., B224 (1989), 373, Phys. Lett., B235 (1990), 282.[16]O. Babelon and L. Bonora, Phys. Lett., B267 (1991), 71.[17]M. Fukuma and T. Takebe,Mod. Phys. Lett:. A, Vol. 5, No. T (1990), 509.[18]V. G. Drinfeld an-d V. V. Sokolov, J. Sov. Math. Phys.,30(1984); 1975.[19]M. F. de Groot, T. J. Hollowood and J. L. Miramontes, IASSNS-HEP-91/19.[20]Hou Bo-yu and Chao Liu, Conformally reduced WZNW theory, New extended chiral algebrasand their associated Toda type integrable systems: (II) An Example, to appear.

[1]	ZHU Qiao , YANG Zhan-Ying , SHI Kang-Jie , WEN Jun-Qing . Study of Solving a Toda Dynamic System with Loop Algebra. Chinese Physics C, 2006, 30(9): 838-843.
[2]	ZHU Qiao , YANG Zhan-Ying , SHI Kang-Ji . The Study on Generalized Toda Mechanics System with Loop Algebra L(D^r). Chinese Physics C, 2005, 29(1): 19-22.
[3]	LIU Wang-Yun , YANG Zhan-Ying , ZHAO Liu . Generalized Toda Mechanics Associated with Classical Lie Algebras D_r. Chinese Physics C, 2004, 28(4): 359-364.
[4]	Sayipjamal Dulat . Z₂ Orbifold-Prime Model of N=2 Superconformal Theories with c=3. Chinese Physics C, 2003, 27(5): 386-390.
[5]	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.
[6]	YANG ZhanYing , ZHEN Yi . Construction on the Solution of osp(1｜4)Toda Model. Chinese Physics C, 2000, 24(6): 484-489.
[7]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[8]	HOU Bo-Yu , ZHAO Liu . On the Connections of W Algebras from Different Reductions of WZNW Theory. Chinese Physics C, 1993, 17(4): 329-337.
[9]	ZHAO Liu , YANG Wen-Li . Bosonic Superconformal Toda Model and Dressing Transformation. Chinese Physics C, 1993, 17(4): 338-344.
[10]	ZHAO Liu . From Integrability to Conformal Symmetry: Bosonic Superconformal Toda Theories. Chinese Physics C, 1993, 17(5): 431-443.
[11]	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.
[12]	HUANG Jing-Yi , CAI Sheng-Shan , HU Si-Zhu , SU Ru-Keng . Chiral Bag Model at Finite Temperature. Chinese Physics C, 1992, 16(6): 494-498.
[13]	ZHAO Liu . On the Exchange Algebra of Periodic WZNW model. Chinese Physics C, 1992, 16(7): 609-614.
[14]	HOU Bo-Yu , ZHAO Liu , YANG Huan-Xiong . Affine Toda Fields as Restriced WZNW Model. Chinese Physics C, 1991, 15(8): 701-710.
[15]	XU Xiao-Ming , QIU Xi-Jun . A CHIRAL QUARK-SOLITON MODEL FOR NUCLEAR FORCE. Chinese Physics C, 1990, 14(9): 810-816.
[16]	RUAN Jie , JING Si-Cong . THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS. Chinese Physics C, 1990, 14(10): 882-891.
[17]	LIU Liang-Gang . ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[18]	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.
[19]	HOU Bo-Yu , LI Wei . VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY. Chinese Physics C, 1987, 11(1): 137-141.
[20]	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.

Access

Get Citation

HOU Bo-Yu and ZHAO Liu. Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework[J]. Chinese Physics C, 1993, 17(1): 28-37.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2576)
PDF Downloads(490)
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

Conformally Reduced WZNW Theory,New Extended Chiral Algebras and Their Associated Toda Type Integrable Systems (Ⅰ) General Framework

HOU Bo-Yu ^,
ZHAO Liu

Corresponding author: HOU Bo-Yu,

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

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-01-05

Abstract: We propose and analyse a large class of conformal reductions Cons [g(H,d)] of WZNW theory based on the integral gradations of the underlying Lie algebra g.The W-bases of the associated W-algebras W[g(H,d)] are constru ted under the generalized Drinfeld-Sokolov gauge which we call O'Raifeartaigh gauge of the constrained Kac-Moody currents,and the equations of motion of the extended Toda type integrable systems corresponding to these Walgebras are derived also.