Asymmetric Galilean conformal algebras
The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogeneously contracting the chiral algebras and present...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322002085 |
| _version_ | 1818466588818407424 |
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| author | Eric Ragoucy Jørgen Rasmussen Christopher Raymond |
| author_facet | Eric Ragoucy Jørgen Rasmussen Christopher Raymond |
| author_sort | Eric Ragoucy |
| collection | DOAJ |
| description | The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogeneously contracting the chiral algebras and present general results for the ensuing asymmetric Galilean algebras. Several examples relevant to conformal field theory are discussed in detail, including superconformal algebras and W-algebras. We also discuss how the Sugawara construction is modified in the asymmetric setting. |
| first_indexed | 2024-04-13T21:00:24Z |
| format | Article |
| id | doaj.art-cbd2b4f66d4444bf85584ad49eaee90f |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-13T21:00:24Z |
| publishDate | 2022-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-cbd2b4f66d4444bf85584ad49eaee90f2022-12-22T02:30:10ZengElsevierNuclear Physics B0550-32132022-08-01981115857Asymmetric Galilean conformal algebrasEric Ragoucy0Jørgen Rasmussen1Christopher Raymond2Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH), Université Grenoble Alpes, CNRS, F-74000 Annecy, FranceSchool of Mathematics and Physics, the University of Queensland, St Lucia, Brisbane, Queensland 4072, AustraliaMathematical Sciences Institute, The Australian National University, Acton, Australian Capital Territory 2600, Australia; Corresponding author.The usual Galilean contraction procedure for generating new conformal symmetry algebras takes as input a number of symmetry algebras which are equivalent up to central charge. We demonstrate that the equivalence condition can be relaxed by inhomogeneously contracting the chiral algebras and present general results for the ensuing asymmetric Galilean algebras. Several examples relevant to conformal field theory are discussed in detail, including superconformal algebras and W-algebras. We also discuss how the Sugawara construction is modified in the asymmetric setting.http://www.sciencedirect.com/science/article/pii/S0550321322002085 |
| spellingShingle | Eric Ragoucy Jørgen Rasmussen Christopher Raymond Asymmetric Galilean conformal algebras Nuclear Physics B |
| title | Asymmetric Galilean conformal algebras |
| title_full | Asymmetric Galilean conformal algebras |
| title_fullStr | Asymmetric Galilean conformal algebras |
| title_full_unstemmed | Asymmetric Galilean conformal algebras |
| title_short | Asymmetric Galilean conformal algebras |
| title_sort | asymmetric galilean conformal algebras |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322002085 |
| work_keys_str_mv | AT ericragoucy asymmetricgalileanconformalalgebras AT jørgenrasmussen asymmetricgalileanconformalalgebras AT christopherraymond asymmetricgalileanconformalalgebras |