Not doomed to fail

Taormina, Anne; Wendland, Katrin

Abstract

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.

Citation

Taormina, A., & Wendland, K. (2018). Not doomed to fail. Journal of High Energy Physics, 2018(09), Article 062. https://doi.org/10.1007/jhep09%282018%29062

• Journal Article Type: Article
• Acceptance Date: Sep 3, 2018
• Online Publication Date: Sep 12, 2018
• Publication Date: Sep 12, 2018
• Deposit Date: Sep 15, 2018
• Publicly Available Date: Sep 17, 2018
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2018
• Issue: 09
• Article Number: 062
• DOI: https://doi.org/10.1007/jhep09%282018%29062
• Public URL: https://durham-repository.worktribe.com/output/1320026
• Related Public URLs: https://arxiv.org/abs/1708.01563