Landau-Ginzburg orbifolds and symmetries of K3 CFTs
Abstract
Recent developments in the study of the moonshine phenomenon, including umbral and Conway moonshine, suggest that it may play an important role in encoding the action of finite symmetry groups on the BPS spectrum of K3 string theory. To test and clarify these proposed K3-moonshine connections, we study Landau-Ginzburg orbifolds that flow to conformal field theories in the moduli space of K3 sigma models. We compute K3 elliptic genera twined by discrete symmetries that are manifest in the UV description, though often inaccessible in the IR. We obtain various twining functions coinciding with moonshine predictions that have not been observed in physical theories before. These include twining functions arising from Mathieu moonshine, other cases of umbral moonshine, and Conway moonshine. For instance, all functions arising from M11 c 2.M12 moonshine appear as explicit twining genera in the LG models, which moreover admit a uniform description in terms of its natural 12-dimensional representation. Finally, our results provide strong evidence for the relevance of umbral moonshine for K3 symmetries, as well as new hints for its eventual explanation.
- Authors:
-
- Korteweg-de Vries Institute for Mathematics, Amsterdam (The Netherlands); Univ. of Amsterdam, Amsterdam (The Netherlands)
- Univ. of Amsterdam, Amsterdam (The Netherlands)
- Harvard Univ., Cambridge, MA (United States)
- SLAC National Accelerator Lab., Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1347443
- Grant/Contract Number:
- AC02-76SF00515
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; sigma models; conformal field theory
Citation Formats
Cheng, Miranda C. N., Ferrari, Francesca, Harrison, Sarah M., and Paquette, Natalie M. Landau-Ginzburg orbifolds and symmetries of K3 CFTs. United States: N. p., 2017.
Web. doi:10.1007/jhep01(2017)046.
Cheng, Miranda C. N., Ferrari, Francesca, Harrison, Sarah M., & Paquette, Natalie M. Landau-Ginzburg orbifolds and symmetries of K3 CFTs. United States. https://doi.org/10.1007/jhep01(2017)046
Cheng, Miranda C. N., Ferrari, Francesca, Harrison, Sarah M., and Paquette, Natalie M. Wed .
"Landau-Ginzburg orbifolds and symmetries of K3 CFTs". United States. https://doi.org/10.1007/jhep01(2017)046. https://www.osti.gov/servlets/purl/1347443.
@article{osti_1347443,
title = {Landau-Ginzburg orbifolds and symmetries of K3 CFTs},
author = {Cheng, Miranda C. N. and Ferrari, Francesca and Harrison, Sarah M. and Paquette, Natalie M.},
abstractNote = {Recent developments in the study of the moonshine phenomenon, including umbral and Conway moonshine, suggest that it may play an important role in encoding the action of finite symmetry groups on the BPS spectrum of K3 string theory. To test and clarify these proposed K3-moonshine connections, we study Landau-Ginzburg orbifolds that flow to conformal field theories in the moduli space of K3 sigma models. We compute K3 elliptic genera twined by discrete symmetries that are manifest in the UV description, though often inaccessible in the IR. We obtain various twining functions coinciding with moonshine predictions that have not been observed in physical theories before. These include twining functions arising from Mathieu moonshine, other cases of umbral moonshine, and Conway moonshine. For instance, all functions arising from M11 c 2.M12 moonshine appear as explicit twining genera in the LG models, which moreover admit a uniform description in terms of its natural 12-dimensional representation. Finally, our results provide strong evidence for the relevance of umbral moonshine for K3 symmetries, as well as new hints for its eventual explanation.},
doi = {10.1007/jhep01(2017)046},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2017,
place = {United States},
year = {Wed Jan 11 00:00:00 EST 2017},
month = {Wed Jan 11 00:00:00 EST 2017}
}
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