A K3 sigma model with Z_2^8:M_20 symmetry

Gaberdiel, M.; Taormina, A.; Volpato, R.; Wendland, K.

Abstract

The K3 sigma model based on the Z2-orbifold of the D4-torus theory is studied. It is shown that it has an equivalent description in terms of twelve free Majorana fermions, or as a rational conformal field theory based on the affine algebra b su(2)6. By combining these different viewpoints we show that the N = (4, 4) preserving symmetries of this theory are described by the discrete symmetry group Z82 : M20. This model therefore accounts for one of the largest maximal symmetry groups of K3 sigma models. The symmetry group involves also generators that, from the orbifold point of view, map untwisted and twisted sector states into one another.

Citation

Gaberdiel, M., Taormina, A., Volpato, R., & Wendland, K. (2014). A K3 sigma model with Z_2^8:M_20 symmetry. Journal of High Energy Physics, 2014(2), Article 22. https://doi.org/10.1007/jhep02%282014%29022

• Journal Article Type: Article
• Acceptance Date: Jan 15, 2014
• Online Publication Date: Feb 5, 2014
• Publication Date: Feb 5, 2014
• Deposit Date: Feb 18, 2014
• Publicly Available Date: Feb 21, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2014
• Issue: 2
• Article Number: 22
• DOI: https://doi.org/10.1007/jhep02%282014%29022
• Keywords: Conformal and W symmetry, Discrete and finite symmetries, Conformal field models in string theory, Extended supersymmetry.