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Four Dimensional Supersymmetric Sigma Models
Author(s) -
Ellwanger Ulrich
Publication year - 1988
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190361202
Subject(s) - degenerate energy levels , coset , sigma model , sigma , invariant (physics) , physics , mathematical physics , scale invariance , symmetry (geometry) , theoretical physics , discrete symmetry , quantum mechanics , mathematics , homogeneous space , combinatorics , geometry , nonlinear system
We review the construction of supersymmetric sigma models on Kähler coset spaces and on coset spaces with broken central charges. The implementation of scale invariance is discussed. We investigate the quantum effective action of the scale invariant O ( N + 2)/ O ( N ) model with respect to its vacuum structure and particle content to leading order in 1/ N . Different vacua corresponding to symmetry restauration and the broken phase, respectively, are degenerate in energy. The effective aotion in the symmetric phase coincides with the one of a linear model.