ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)

YU Yue; GUO Han-Ying

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(6) : 503-511

ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)

YU Yue ^, ,
GUO Han-Ying

Institute of High Energy Physics,Academia Sinica P.O.Box 918,Beijing2 Institute of Theoretical Physics,Academia Sinica,P.O.Box 2735,Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
The Hilbert space and the representation of the generators of Virasoro algebra for bosonic string under a holomorphic polarization are given in this paper,It is shown that the contre term of Virasoro algebra may be interpreted as curvature of a holomorphic vector bundle (holomorphic Fock bundle) on coset space G¹¹=G/H where G denotes the conformal transformation group and H the one-parameter subgroup generated by the generator L₀.The condition of the conformal anomaly cancellation may be expressed as the vanishing curvature of the bundle which is obtained by the product of the holomorphic Fock bundle and the holomorphic ghost vacuum bundle.The geometric interpretations of both classical and quantized BRST operators,ghost and antighost operators are also discussed.

References

[1]

虞跃，郭汉英，关于玻色弦的几何量子化(一)，将在《高能物理与核物理》发表.[2] M. Rolrick and S. G. Rajeev, Phys. Rev. Lett., 58(1987), 353; Nucl. Phys., B293(1987), 34.8.J. Mickelsson, Commun. Math. Phys., 112(1987), 653.D. Harri, D. K. Hong, P. Rarnond and V. G. Rodgers, Nucl. Phys., B294(1987), 556.Z. Y. Zhao, K. Wu and T. Saito, Phys. Lett., E199(1987), 37.[3] K. Pilch and N. P. Warner, Class. Quant. Grav., 4(1987), 1183.[4] C. Chevalley, The Algebric Theory of Spinors (Columbia Univ. Press (1954)).[5] H. Y. Guo and K. Wu, in Proceedings of the Paris-Meudon Colloquium, 1986, ed. by H. J. de Vega and N. Scnchez, World Sci. 1987.[6] L. B. Frenkel, H. Garland and G. J. Zucherman, Proc. Nat'l Acad. Sci., (U. S. A.) 83(1986), 8442.

[1]	LIAO Ling , HUANG Yong-Chang . Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory. Chinese Physics C, 2006, 30(3): 191-195.
[2]	LI Xi-Guo , SONG Jian-Jun , XING Yong-Zhong , ZUO Wei . Quantization of the Periodic Orbits and Long-Range Correlations in Quantum Spectra. Chinese Physics C, 2002, 26(5): 484-490.
[3]	ZHANG Wei-Ning , TANG Gui-Xin , ZHANG Sheng , CHEN Xiang-Jun , HUO Lei , LIU Yi-Ming . Analysis of Multiparticle Bose-Einstein Correlations for QGP Hadronization. Chinese Physics C, 2001, 25(3): 237-243.
[4]	SONG Jian-Jun , LI Xi-Guo . Trace Formula and Periodic Orbits Quantization for Two-Dimensional Integrable System. Chinese Physics C, 2001, 25(10): 958-963.
[5]	Guo Jianyou , Xu Fuxin , Ruan Tunan . Quantization of Nuclear Hexadecapole Vibration in the Space of Parameter. Chinese Physics C, 1999, 23(9): 873-879.
[6]	Feng Shengzu , Ruan Tunan . Comments on the Bosonnization Technique of Fermions. Chinese Physics C, 1999, 23(11): 1119-1124.
[7]	Shen Qixing , Yu Hong , Zhang Lin . Study of the Boson Resonance Produced in the Three-Step Two-Body Decay Process of J/ψ. Chinese Physics C, 1995, 19(1): 16-26.
[8]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[9]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[10]	HOU Bo-Yu , YANG Huan-Xiong . The Hamiltonian Formalism and Quantizations of (Generalized) BFOFW Model. Chinese Physics C, 1993, 17(6): 524-533.
[11]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[12]	FEI Shao-Ming , YU Yue . THE BKS DERNEL OF BOSONIC STRINGS AND PATH INTEGRAL. Chinese Physics C, 1989, 13(4): 334-338.
[13]	SUN Yi , JING Si-Cong , RUAN Tu-Nan . QUANTIZATION OF BOSON STRING WITH WEYL ORDERING. Chinese Physics C, 1989, 13(5): 411-418.
[14]	YU Yue . SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM. Chinese Physics C, 1989, 13(1): 92-96.
[15]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[16]	XU Kai-Wen . COVARIANT AND QUANTIZATION OF SPINNING STRING IN M_d×G SPACE-TIME. Chinese Physics C, 1988, 12(3): 315-323.
[17]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[18]	Wu Jing-yuan . QUANTIZATION OF THE PHOTON FIELD AND DIPOLE GHOSTS. Chinese Physics C, 1980, 4(3): 291-301.
[19]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

Access

Get Citation

YU Yue and GUO Han-Ying. ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)[J]. Chinese Physics C, 1989, 13(6): 503-511.

YU Yue and GUO Han-Ying. ON GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)[J]. Chinese Physics C, 1989, 13(6): 503-511. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2244)
PDF Downloads(481)
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 GEOMETRIC QUANTIZATION FOR BOSONIC STRING (Ⅱ)

YU Yue ^,
GUO Han-Ying

Corresponding author: YU Yue,

Institute of High Energy Physics,Academia Sinica P.O.Box 918,Beijing2 Institute of Theoretical Physics,Academia Sinica,P.O.Box 2735,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-06-05

Abstract: The Hilbert space and the representation of the generators of Virasoro algebra for bosonic string under a holomorphic polarization are given in this paper,It is shown that the contre term of Virasoro algebra may be interpreted as curvature of a holomorphic vector bundle (holomorphic Fock bundle) on coset space G¹¹=G/H where G denotes the conformal transformation group and H the one-parameter subgroup generated by the generator L₀.The condition of the conformal anomaly cancellation may be expressed as the vanishing curvature of the bundle which is obtained by the product of the holomorphic Fock bundle and the holomorphic ghost vacuum bundle.The geometric interpretations of both classical and quantized BRST operators,ghost and antighost operators are also discussed.