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

Gaberdiel, M. and Taormina, A. and Volpato, R. and Wendland, K. (2014) 'A K3 sigma model with Z_2^8:M_20 symmetry.', Journal of high energy physics., 2014 (2). p. 22.

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.

Item Type:Article
Keywords:Conformal and W symmetry, Discrete and finite symmetries, Conformal field models in string theory, Extended supersymmetry.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP02(2014)022
Publisher 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.
Date accepted:15 January 2014
Date deposited:21 February 2014
Date of first online publication:05 February 2014
Date first made open access:No date available

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