Not doomed to fail
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 aut...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2018)062 |
| _version_ | 1818130815139184640 |
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| author | Anne Taormina Katrin Wendland |
| author_facet | Anne Taormina Katrin Wendland |
| author_sort | Anne Taormina |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T08:11:02Z |
| format | Article |
| id | doaj.art-6b3b3d93ccdd43469dc09209cb284089 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T08:11:02Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6b3b3d93ccdd43469dc09209cb2840892022-12-22T01:14:52ZengSpringerOpenJournal of High Energy Physics1029-84792018-09-012018911110.1007/JHEP09(2018)062Not doomed to failAnne Taormina0Katrin Wendland1Centre for Particle Theory, Department of Mathematical Sciences, University of DurhamMathematics Institute, University of FreiburgAbstract 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.http://link.springer.com/article/10.1007/JHEP09(2018)062Conformal Field TheoryDiscrete SymmetriesSigma Models |
| spellingShingle | Anne Taormina Katrin Wendland Not doomed to fail Journal of High Energy Physics Conformal Field Theory Discrete Symmetries Sigma Models |
| title | Not doomed to fail |
| title_full | Not doomed to fail |
| title_fullStr | Not doomed to fail |
| title_full_unstemmed | Not doomed to fail |
| title_short | Not doomed to fail |
| title_sort | not doomed to fail |
| topic | Conformal Field Theory Discrete Symmetries Sigma Models |
| url | http://link.springer.com/article/10.1007/JHEP09(2018)062 |
| work_keys_str_mv | AT annetaormina notdoomedtofail AT katrinwendland notdoomedtofail |