On symmetries of N=(4,4) sigma models on T4

Volpato, Roberto

doi:10.1007/JHEP08(2014)094

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On symmetries of N=(4,4) sigma models on T4

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

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Volpato, R. (2014). On symmetries of N=(4,4) sigma models on T4. Journal of High Energy Physics, 2014(08): 094. doi:10.1007/JHEP08(2014)094.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0015-8C74-E

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 N=(4,4) superconformal algebra. The resulting symmetry groups are isomorphic to certain subgroups of the Weyl group of E8, 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.