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Generalised Moonshine and Holomorphic Orbifolds
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- Persson, Daniel, 1978 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
- Volpato, R. (author)
- Gaberdiel, Matthias (author)
- (creator_code:org_t)
- ISBN 9780821894958
- Providence, Rhode Island : American Mathematical Society, 2015
- 2015
- English.
- In: Proceedings of Symposia in Pure Mathematics - Conference on String-Math 2012. - Providence, Rhode Island : American Mathematical Society. - 2324-707X. - 9780821894958 ; 90, s. 73-86
- Conference paper (peer-reviewed)
Abstract
Subject headings
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- Generalised moonshine is reviewed from the point of view of holomorphic orbifolds, putting special emphasis on the role of the third cohomology group H^3(G, U(1)) in characterising consistent constructions. These ideas are then applied to the case of Mathieu moonshine, i.e. the recently discovered connection between the largest Mathieu group M_24 and the elliptic genus of K3. In particular, we find a complete list of twisted twining genera whose modular properties are controlled by a class in H^3(M_24, U(1)), as expected from general orbifold considerations.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
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