Topological. sigma. models and conformal invariances

Journal Article · Tue Aug 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1207· OSTI ID:5467882

Yu, Y ^[1]; Hu, H ^[2]

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1. Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8370, Beijing, People's Republic of China (CN) Institute of High Energy Physics, Academia Sinica, P.O. Box 918(4), Beijing, People's Republic of China
2. Institute of High Energy Physics, Academia Sinica, P.O. Box 918(4), Beijing, People's Republic of China Department of Physics, Zhejiang University, Hangzhou, People's Republic of China

A modified version of Witten's model which describes the two-dimensional topological gravity coupled to the topological {sigma} model is given. We find there is a modified superconformal symmetry at the classical level. Furthermore, the superconformal anomaly does not appear at the quantum level and the critical dimension is undetermined. In the superconformal gauge, it is clarified that the physical states belong to the cohomology class of the nilpotential operator which is the direct sum of the fermionic charge {ital Q} and the usual Becchi-Rouet-Stora-Tyutin charge {ital s}.

• OSTI ID: 5467882
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD THEORIES
FUNCTIONS
GRAVITATIONAL FIELDS
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
SIGMA MODEL
SPACE-TIME
TENSORS
TOPOLOGY