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Not doomed to fail.

Taormina, Anne and Wendland, Katrin (2018) 'Not doomed to fail.', Journal of high energy physics., 2018 (09). 062.


In their recent manuscript “An uplifting discussion of T-duality ” [26], J. Harvey and G. Moore have reevaluated a mod two condition appearing in asymmetric orbifold constructions as an obstruction to the description of certain symmetries of toroidal conformal field theories by means of automorphisms of the underlying charge lattice. The relevant “doomed to fail” condition determines whether or not such a lattice automorphism g may lift to a symmetry in the corresponding toroidal conformal field theory without introducing extra phases. If doomed to fail, then in some cases, the lift of g must have double the order of g. It is an interesting question, whether or not “geometric” symmetries are affected by these findings. In the present note, we answer this question in the negative, by means of elementary linear algebra: “geometric” symmetries of toroidal conformal field theories are not doomed to fail. Consequently, and in particular, the symmetry groups involved in symmetry surfing the moduli space of K3 theories do not differ from their lifts.

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Publisher statement:Open Access © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:03 September 2018
Date deposited:17 September 2018
Date of first online publication:12 September 2018
Date first made open access:17 September 2018

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