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

Research output: Contribution to journalArticle

Volker Braun, Sakura Schafer-Nameki

Original languageEnglish
Article numberN/A
Pages (from-to)217-242
Number of pages26
JournalAdv.Theor. Math. Phys.
Issue number2
Publication statusPublished - Apr 2008

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We present an encompassing treatment of D-brane charges in supersymmetric SO(3) Wess-Zumino-Witten (WZW) models. There are two distinct supersymmetric Conformal field theories (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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