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Journal Article

A K3 sigma model with Z_2^8:M_20 symmetry

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons39398

Volpato,  Roberto
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1309.4127.pdf
(Preprint), 578KB

JHEP2014_022.pdf
(Any fulltext), 971KB

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Citation

Gaberdiel, M. R., Taormina, A., Volpato, R., & Wendland, K. (2014). A K3 sigma model with Z_2^8:M_20 symmetry. Journal of high energy physics: JHEP, 2014(02): 022. doi:10.1007/JHEP02(2014)022.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-5421-F
Abstract
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(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.