Topics in Nonlinear Sigma Models in D=3

Details Topics in Nonlinear Sigma Models in D=3 Topics in Nonlinear Sigma Models in D=3

2002-11-14

arxiv.org/abs/hep-th/0211129v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures; v2 minor changes, references added, Contributed talk given at: Workshop on Integrable Theories, Solitons

Scientific paper

Nonlinear sigma models (NLSM) in d=3 have many interesting and non-trivial features, which were explored poorly in contrast with NLSM in d=2 and d=4. We present a few results from our study of the perturbative and non-perturbative 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 CP(n) model, and study low-energy dynamics of BPS solitons in this model. We also discuss briefly dynamics of non-BPS solutions.

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