The classification of chiral WZW models by H4 +(BG, ℤ)
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Publication date
2017
Authors
Henriques, André
Editors
Barron, Katrina
Jurisich, Elizabeth
Milas, Antun
Misra, Kailash
Advisors
Supervisors
Document Type
Part of book
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taverne
Abstract
We axiomatize the defining properties of chiral WZW models. We show that such models are in almost bijective correspondence with pairs (G, k), where G is a connected Lie group and k ∈ H4 + (BG, ℤ) is a degree four cohomology class subject to a certain positivity condition. We find a couple extra models which satisfy all the defining properties of chiral WZW models, but which don’t come from pairs (G, k) as above. The simplest such model is the simple current extension of the affine VOA E8 × E8 at level (2, 2) by the group ℤ2.
Keywords
Taverne, General Mathematics
Citation
Henriques, A 2017, The classification of chiral WZW models by H 4 + (BG, ℤ). in K Barron, E Jurisich, A Milas & K Misra (eds), Lie Algebras, Vertex Operator Algebras, and Related Topics : Proceedings of the Conference in Honor of J. Lepowsky and R. Wilson on Lie Algebras, Vertex Operator Algebras, and Related Topics August 14–18, 2015 University of Notre Dame, Notre Dame, IN. Contemporary Mathematics, vol. 695, American Mathematical Society, pp. 99-121. https://doi.org/10.1090/conm/695/13998