Modular invariant partition functions for non-compact G/Ad(H) models

Details Modular invariant partition functions for non-compact G/Ad(H) models Modular invariant partition functions for non-compact G/Ad(H) models

2010-12-17

arxiv.org/abs/1012.3920v1

Phys.Rev.D83:086007,2011

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1103/PhysRevD.83.086007

We propose a spectrum for a class of gauged non-compact G/Ad(H) WZNW models, including spectrally flowed images of highest, lowest, and mixed extremal weight modules. These are combined into blocks whose characters, due to the Lorentzian signature of the target space, are divergent and treated as formal expressions in need of regularisation. Assuming that this is possible, we show that these extended characters transform linearly under modular transformations, and can be used to write down modular invariant partition functions.

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