Not doomed to fail

Taormina, Anne; Wendland, Katrin

doi:10.1007/jhep09(2018)062

Not doomed to fail

Taormina, Anne; Wendland, Katrin

Authors

Professor Anne Taormina anne.taormina@durham.ac.uk
Professor

Katrin Wendland

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
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
Related Public URLs	https://arxiv.org/abs/1708.01563

Files

Published Journal Article (268 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright 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.