2000 character limit reached
On symmetries of N=(4,4) sigma models on T^4 (1403.2410v3)
Published 10 Mar 2014 in hep-th
Abstract: Motivated by an analogous result for K3 models, we classify all groups of symmetries of non-linear sigma models on a torus T4 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.