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A K3 sigma model with Z_2^8:M_20 symmetry

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

A K3 sigma model with Z_2^8:M_20 symmetry Thumbnail


M. Gaberdiel

R. Volpato

K. Wendland


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.


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.

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
Keywords Conformal and W symmetry, Discrete and finite symmetries, Conformal field models in string theory, Extended supersymmetry.


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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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