Supersymmetric WZW models and twisted K-theory of SO(3)

Details Supersymmetric WZW models and twisted K-theory of SO(3) Supersymmetric WZW models and twisted K-theory of SO(3)

2004-03-31

arxiv.org/abs/hep-th/0403287v2

Adv.Theor.Math.Phys.12:217-242,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 26 pages. v2: overall k+1 fixed, conclusions unchanged. References added

Scientific paper

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.

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