SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM

YU Yue

Chinese Physics C> 1989, Vol. 13> Issue(1) : 92-96

SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM

YU Yue ^,

Institute of High Energy Physics,Academia Sinica,Beijing

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Abstract：
The sympletic structures for bosonic strings are given by the method restricting J^'Y to its Lagrangian submanifold and geometric quantization in BRST formulation for strings is discussed.It is found that conformal anomaly is cancelled when curvature of BRST vacuum bundle on G₀=G₀/H vanishes.

References

[l] M. Boivick and S. G. Rajeev, Phys. Rev. Lett., 58(1957), 353; Nucl. Phys., B293(1987), 348;D. Harari, D. K. Hong, P. Ramond and V. G. Rodgers, Nucl. Phys., B294(1987), 556.[2] J. Mickelsson, Commun. Math. Phys., 112(1987), 6653;Z. Y. Zhao, K. Wu and T. Saito, Phys. Lett., B199(1957), 37;K. Pilch and N. P. Warner, Class. Quant. Grav., 4(1987), 1183.[3] W. Chen and Y. Yu: BlHEP preprint. BIHEP-TH-88-21.[4] N. J. Woodhouse, Geometric Quantization (Clarrndon Press. Oxford, UK. 1980);J. Sniatycki, Geometric Quantization and Quantum hfecllnnics (Springer-Verlag, New York 1980).[5] P. Friedan. E. Martinic and S. Schenker, Nucl. Phys., B271(1986), 93.[6] Y. Yu and H. Y. Guo, BIHEP preprint, BIHEP-TH-88-14,虞跃，郭汉英，关于玻色弦的几何量子化(一)(二)，高能物理与核物理，待发表.

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YU Yue. SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM[J]. Chinese Physics C, 1989, 13(1): 92-96.

YU Yue. SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM[J]. Chinese Physics C, 1989, 13(1): 92-96. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM

YU Yue ^,

Corresponding author: YU Yue,

Institute of High Energy Physics,Academia Sinica,Beijing

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

Abstract: The sympletic structures for bosonic strings are given by the method restricting J^'Y to its Lagrangian submanifold and geometric quantization in BRST formulation for strings is discussed.It is found that conformal anomaly is cancelled when curvature of BRST vacuum bundle on G₀=G₀/H vanishes.