Chinese Physics C > 1993, Vol. 17 > Issue(4): 329-337

On the Connections of W Algebras from Different Reductions of WZNW Theory

HOU Bo-Yu^,,
ZHAO Liu

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

Abstract
HTML
Reference
Related

PDF

Abstract：
The possible isomorphic relations between W algebras from various conformal reductions of WZNW model are investigated and the criterion for the isomorphism of W algebras is given.In the special case of sl ₃WZNW theory,we show explicitly the isomorphism between W[(111) ₂] and W[(12) ₁] and discuss the constraint-gauge condition transmutation between the O'Raifeartaigh gauges and the transmutation of conformal weights under the isomorphism transformation.

[1]	LIU Yu-Xin. Algebraic Model Description of High Spin Superdeformed Bands. Chinese Physics C, 2000, 24(S1): 50-53.
[2]	Shi Kangjie,Yang Wenli,Fan Heng,Hou Boyu. Bosonized Vertex Operators Realize Z-F Algebra for Z_nSymmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
[3]	Shi Kangjie,Yang Wenli,Hou Boyu,Fan Heng. q-deformed Quantum Affine Algebra in Z_nLattice Model. Chinese Physics C, 1995, 19(3): 229-240.
[4]	Zhang Jianwei,Deng Weizhen,Yang Zesen,Yang Liming. Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model. Chinese Physics C, 1994, 18(9): 821-828.
[5]	Zhao Liu. Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[6]	YAN Jun,HU Shi-Ke. The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[7]	HOU Bo-Yu,YANG Huan-Xiong. The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[8]	MIAO Yan-Gang. BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[9]	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.
[10]	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.
[11]	YANG Huan-Xiong. Hamiltonian Formalism of WZNW Field Under Chevalley Basis. Chinese Physics C, 1992, 16(8): 696-703.
[12]	Yang Huanxiong. Hamiltonian Formula of WZNW Theory Under Chevalley Bases. Chinese Physics C, 1992, 16(S3): 243-252.
[13]	Zhao Liu. On the Exchange Algebra of Periodic WZNW Model. Chinese Physics C, 1992, 16(S2): 187-192.
[14]	ZHAO Liu. On the Exchange Algebra of Periodic WZNW model. Chinese Physics C, 1992, 16(7): 609-614.
[15]	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.
[16]	HOU Bo-Yu,ZHAO Liu,YANG Huan-Xiong. Affine Toda Fields as Restriced WZNW Model. Chinese Physics C, 1991, 15(8): 701-710.
[17]	LI Zhi-Bing,ZHONG Chao-Wu,CHEN Tian-Lun,HUANG Wu-Qun. MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴MODEL. Chinese Physics C, 1988, 12(1): 23-27.
[18]	HOU Bo-Yu,LI Wei. VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY. Chinese Physics C, 1987, 11(1): 137-141.
[19]	PAN Zheng-Ying,QIU Zhi-Hong,SUN Yue-De. OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL. Chinese Physics C, 1984, 8(3): 298-305.
[20]	HAN QI-ZHI,SONG XING-CHANG,LI GEN-DAO,SUN HONG-ZHOU. IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRASU(m/n). Chinese Physics C, 1981, 5(5): 546-553.

Access

Get Citation

HOU Bo-Yu and ZHAO Liu. On the Connections of W Algebras from Different Reductions of WZNW Theory[J]. Chinese Physics C, 1993, 17(4): 329-337.

HOU Bo-Yu and ZHAO Liu. On the Connections of W Algebras from Different Reductions of WZNW Theory[J]. Chinese Physics C, 1993, 17(4): 329-337. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3601)
PDF Downloads(457)
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

On the Connections of W Algebras from Different Reductions of WZNW Theory

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:1993-04-05

Abstract:The possible isomorphic relations between W algebras from various conformal reductions of WZNW model are investigated and the criterion for the isomorphism of W algebras is given.In the special case of sl₃WZNW theory,we show explicitly the isomorphism between W[(111)₂] and W[(12)₁] and discuss the constraint-gauge condition transmutation between the O'Raifeartaigh gauges and the transmutation of conformal weights under the isomorphism transformation.