Duality in Fuzzy Sigma Models

Details Duality in Fuzzy Sigma Models Duality in Fuzzy Sigma Models

2004-08-13

arxiv.org/abs/hep-th/0408111v2

Int.J.Mod.Phys. A19 (2004) 5237-5246

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 9 pages; misprints corrected

Scientific paper

10.1142/S0217751X04020671

Nonlinear `sigma' models in two dimensions have BPS solitons which are solutions of self- and anti-self-duality constraints. In this paper, we find their analogues for fuzzy sigma models on fuzzy spheres which were treated in detail by us in earlier work. We show that fuzzy BPS solitons are quantized versions of `Bott projectors', and construct them explicitly. Their supersymmetric versions follow from the work of S. Kurkcuoglu.

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