Duality in Fuzzy Sigma Models
高能物理 - 理论
2009-11-10 v2 广义相对论与量子宇宙学
代数几何
摘要
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.
关键词
引用
@article{arxiv.hep-th/0408111,
title = {Duality in Fuzzy Sigma Models},
author = {A. P. Balachandran and Giorgio Immirzi},
journal= {arXiv preprint arXiv:hep-th/0408111},
year = {2009}
}
备注
Latex, 9 pages; misprints corrected