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BPS algebras, genus...
BPS algebras, genus zero and the heterotic Monster
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- Paquette, Natalie M. (författare)
- Stanford University
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- Persson, Daniel, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Volpato, Roberto (författare)
- Università Degli Studi di Padova,University of Padua
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(creator_code:org_t)
- 2017-09-08
- 2017
- Engelska.
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Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP Publishing. - 1751-8113 .- 1751-8121. ; 50
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Abstract
Ämnesord
Stäng
- © 2017 IOP Publishing Ltd. In this note, we expand on some technical issues raised in (Paquette et al 2016 Commun. Number Theory Phys. 10 433-526) by the authors, as well as providing a friendly introduction to and summary of our previous work. We construct a set of heterotic string compactifications to 0 + 1 dimensions intimately related to the Monstrous moonshine module of Frenkel, Lepowsky, and Meurman (and orbifolds thereof). Using this model, we review our physical interpretation of the genus zero property of Monstrous moonshine. Furthermore, we show that the space of (second-quantized) BPS-states forms a module over the Monstrous Lie algebras - some of the first and most prominent examples of Generalized Kac-Moody algebras - constructed by Borcherds and Carnahan. In particular, we clarify the structure of the module present in the second-quantized string theory. We also sketch a proof of our methods in the language of vertex operator algebras, for the interested mathematician.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- BPS states
- conformal feld theory
- generalized kac-moody
- heterotic string
- Monstrous moonshine
- string theory
- monstrous moonshine
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- art (ämneskategori)
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