Finiteness of Ricci flat supersymmetric non-linear σ-models
Copyright policy )Finiteness of Ricci flat supersymmetric non-linear σ-models
The paper deals with the problem of super-normalisation of nonlinear \(\sigma\)-models. Using the dimension independence of the background field method and the geometrical properties of Kähler manifolds, the authors show the on-shell finiteness of \(N=4\) models with target space an arbitrary Ricci flat manifold to all orders of perturbation theory. Some comments are made on finiteness of \(N=2\) and \(N=1\) \(\sigma\)-models.
- Harvard University United States
\(\sigma \) -models, 58E20, 53C80, 53C55, quantum field theories, Renormalization group methods applied to problems in quantum field theory, super-normalisation, Supersymmetric field theories in quantum mechanics, 81E20, 81E15, Applications of global differential geometry to the sciences, perturbation theory
\(\sigma \) -models, 58E20, 53C80, 53C55, quantum field theories, Renormalization group methods applied to problems in quantum field theory, super-normalisation, Supersymmetric field theories in quantum mechanics, 81E20, 81E15, Applications of global differential geometry to the sciences, perturbation theory
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