Anisotropic Weyl invariance
Abstract We consider a non-relativistic free scalar field theory with a type of anisotropic scale invariance in which the number of coordinates “scaling like time” is generically greater than one. We propose the Cartesian product of two curved spaces, the metric of each space being parameterized by...
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SpringerOpen
2017-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5013-4 |
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doaj-f8d85b177d6946028505e2c94a117ae62020-11-24T23:29:37ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-07-017771810.1140/epjc/s10052-017-5013-4Anisotropic Weyl invarianceGuillem Pérez-Nadal0Universidad de Buenos AiresAbstract We consider a non-relativistic free scalar field theory with a type of anisotropic scale invariance in which the number of coordinates “scaling like time” is generically greater than one. We propose the Cartesian product of two curved spaces, the metric of each space being parameterized by the other space, as a notion of curved background to which the theory can be extended. We study this type of geometries, and find a family of extensions of the theory to curved backgrounds in which the anisotropic scale invariance is promoted to a local, Weyl-type symmetry.http://link.springer.com/article/10.1140/epjc/s10052-017-5013-4 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guillem Pérez-Nadal |
| spellingShingle |
Guillem Pérez-Nadal Anisotropic Weyl invariance European Physical Journal C: Particles and Fields |
| author_facet |
Guillem Pérez-Nadal |
| author_sort |
Guillem Pérez-Nadal |
| title |
Anisotropic Weyl invariance |
| title_short |
Anisotropic Weyl invariance |
| title_full |
Anisotropic Weyl invariance |
| title_fullStr |
Anisotropic Weyl invariance |
| title_full_unstemmed |
Anisotropic Weyl invariance |
| title_sort |
anisotropic weyl invariance |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2017-07-01 |
| description |
Abstract We consider a non-relativistic free scalar field theory with a type of anisotropic scale invariance in which the number of coordinates “scaling like time” is generically greater than one. We propose the Cartesian product of two curved spaces, the metric of each space being parameterized by the other space, as a notion of curved background to which the theory can be extended. We study this type of geometries, and find a family of extensions of the theory to curved backgrounds in which the anisotropic scale invariance is promoted to a local, Weyl-type symmetry. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-017-5013-4 |
| work_keys_str_mv |
AT guillempereznadal anisotropicweylinvariance |
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1725544696982274048 |