Supersymmetric WZW models and twisted K-theory of SO(3)
High Energy Physics - Theory
2011-10-10 v2 K-Theory and Homology
Abstract
We present an encompassing treatment of D-brane charges in supersymmetric SO(3) WZW models. There are two distinct supersymmetric CFTs at each even level: the standard bosonic SO(3) modular invariant tensored with free fermions, as well as a novel twisted model. We calculate the relevant twisted K-theories and find complete agreement with the CFT analysis of D-brane charges. The K-theoretical computation in particular elucidates some important aspects of N=1 supersymmetric WZW models on non-simply connected Lie groups.
Cite
@article{arxiv.hep-th/0403287,
title = {Supersymmetric WZW models and twisted K-theory of SO(3)},
author = {Volker Braun and Sakura Schafer-Nameki},
journal= {arXiv preprint arXiv:hep-th/0403287},
year = {2011}
}
Comments
LaTeX, 26 pages. v2: overall k+1 fixed, conclusions unchanged. References added