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  Generalised Mathieu Moonshine

Gaberdiel, M. R., Persson, D., Ronellenfitsch, H., & Volpato, R. (2013). Generalised Mathieu Moonshine. Communications in Number Theory and Physics, 7(1), 145-223. doi:10.4310/CNTP.2013.v7.n1.a5.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-2478-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-19A2-5
Genre: Journal Article

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1211.7074 (Preprint), 449KB
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1211.7074
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File downloaded from arXiv at 2012-12-03 11:06
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 Creators:
Gaberdiel, Matthias R., Author
Persson, Daniel, Author
Ronellenfitsch, Henrik, Author
Volpato, Roberto1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Quantum Algebra, math.QA
 Abstract: The Mathieu twisted twining genera, i.e. the analogues of Norton's generalised Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H^3(M_24,U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine.

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 Dates: 2012-11-2920132013
 Publication Status: Published in print
 Pages: 47 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1211.7074
DOI: 10.4310/CNTP.2013.v7.n1.a5
 Degree: -

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Title: Communications in Number Theory and Physics
Source Genre: Journal
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Pages: - Volume / Issue: 7 (1) Sequence Number: - Start / End Page: 145 - 223 Identifier: -