Not doomed to fail

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2018-09, Vol.2018 (9), p.1-11, Article 62
Main Authors: Taormina, Anne, Wendland, Katrin
Format: Article
Language:English
Subjects:
Automorphisms
Classical and Quantum Gravitation
Conformal Field Theory
Discrete Symmetries
Elementary Particles
Field theory
High energy physics
Lifts
Linear algebra
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Sigma Models
String Theory
Symmetry
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2018)062