Abstract
Motivated by an analogous result for K3 models, we classify all groups of symmetries of non-linear sigma models on a torus T 4 that preserve the \( \mathcal{N} \) = (4, 4) superconformal algebra. The resulting symmetry groups are isomorphic to certain subgroups of the Weyl group of E 8, that plays a role similar to the Conway group for the case of K3 models. Our analysis heavily relies on the triality automorphism of the T-duality group SO(4, 4, ℤ). As a byproduct of our results, we discover new explicit descriptions of K3 models as asymmetric orbifolds of torus CFTs.
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Volpato, R. On symmetries of \( \mathcal{N} \) = (4, 4) sigma models on T 4 . J. High Energ. Phys. 2014, 94 (2014). https://doi.org/10.1007/JHEP08(2014)094
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DOI: https://doi.org/10.1007/JHEP08(2014)094