SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM

  • 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.
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  • [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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SYMPLECTIC STRUCTURES AND QUANTIZATION FOR BOSONIC STRINGS IN BRST FORMALISM

    Corresponding author: YU Yue,
  • Institute of High Energy Physics,Academia Sinica,Beijing

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.

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