A K3 sigma model with Z(2)(8): M-20 symmetry

作者：Gaberdiel Matthias R^*; Taormina Anne; Volpato Roberto; Wendland Katrin

来源：The Journal of High Energy Physics, 2014, 2014(2): 022.

DOI：10.1007/JHEP02(2014)022

• Conformal and W Symmetry
• Discrete and Finite Symmetries
• Conformal Field Models in String Theory
• Extended Supersymmetry

The K3 sigma model based on the Z(2)-orbifold of the D-4-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 (su) over bar (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 Z(2)(8) : M-20. 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.

• 出版日期2014-2-5