出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Nonlinear sigma models (NLSM) in d = 3 have many interesting and nontrivial
features, which were explored poorly in contrast with NLSMin d = 2and d = 4. We
present a few results from our study of the perturbative and non-pertubative properties
of three-dimensional (3D) NLSM.
i) We have shown that cancellation of ultra-violet (UV) divergences takes place in 3D
extended (N = 2; 4) supersymmetric NLSM in low orders of the 1=n expansion.
ii) We consider noncommutative extension of the 3D CPn model, and study low-energy
dynamics of BPS solitons in this model. We also discuss briefly dynamics of non-BPS
solutions.
