Geometrical quantization of bosonic string with Wess-Zumino term on genus- g Riemann surface

Journal Article · Mon Jan 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.472· OSTI ID:7162336

Liu, Y; Chen, S ^[1]; Ni, G ^[2]

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1. Physics Department, Fudan University, Shanghai, China (CN)
2. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing, China Physics Department, Fudan University, Shanghai, China

By combining the method of geometrical quantization and Krichever and Novikov algebra, we study the holomorphic structure of a bosonic string with Wess-Zumino term on a genus-{ital g} Riemann surface {Sigma} and arrive at the conclusion that the curvature on a Kaehler manifold is proportional to the central extension of Krichever and Novikov algebra on {Sigma} and vanishes at the critical dimension {ital d}=26{minus}({ital kd}{sub {ital G}})/(C{sub V}+k).

• OSTI ID: 7162336
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPOSITE MODELS
DUALITY
ENERGY-MOMENTUM TENSOR
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE MODELS
QUANTIZATION
QUARK MODEL
SPACE
STRING MODELS
TENSORS