Geometrical Structure and Ultraviolet Finiteness in the Supersymmetric Sigma Model
Jan, 198111 pages
Published in:
- Commun.Math.Phys. 80 (1981) 443
DOI:
Report number:
- PRINT-81-0044 (MIT)
Citations per year
Abstract: (Springer)
A complete geometrical classification of supersymmetric σ-models is given. Extended supersymmetry requires covariantly constant complex structures, and Kahler and hyperkahler manifolds play a special role. As an application of the classification, it is shown that a particular class of these models is on-shell ultraviolet finite to all orders in perturbation theory.- FIELD THEORETICAL MODEL: SIGMA
- SUPERSYMMETRY
- FIELD THEORY: SPACE-TIME
- DUALITY
- RENORMALIZATION: REGULARIZATION
- MODEL: ON-SHELL
- PERTURBATION THEORY: HIGHER-ORDER
- RENORMALIZATION: BETA FUNCTION
- MATHEMATICAL METHODS
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