Torsion and anomalies in the warped limit of Lifschitz theories
Abstract We describe the physics of fermionic Lifschitz theories once the anisotropic scaling exponent is made arbitrarily small. In this limit the system acquires an enhanced (Carrollian) boost symmetry. We show, both through the explicit computation of the path integral Jacobian and through the so...
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)190 |
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| author | Christian Copetti |
| author_facet | Christian Copetti |
| author_sort | Christian Copetti |
| collection | DOAJ |
| description | Abstract We describe the physics of fermionic Lifschitz theories once the anisotropic scaling exponent is made arbitrarily small. In this limit the system acquires an enhanced (Carrollian) boost symmetry. We show, both through the explicit computation of the path integral Jacobian and through the solution of the Wess-Zumino consistency conditions, that the translation symmetry in the anisotropic direction becomes anomalous. This turns out to be a mixed anomaly between boosts and translations. In a Newton-Cartan formulation of the space-time geometry such anomaly is sourced by torsion. We use these results to give an effective field theory description of the anomalous transport coefficients, which were originally computed through Kubo formulas in [1]. Along the way we provide a link with warped CFTs. |
| format | Article |
| id | doaj-art-2d56c4cb0c034b62bc065f89a0e2da1d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2d56c4cb0c034b62bc065f89a0e2da1d2025-02-09T12:06:17ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113710.1007/JHEP01(2020)190Torsion and anomalies in the warped limit of Lifschitz theoriesChristian Copetti0Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridAbstract We describe the physics of fermionic Lifschitz theories once the anisotropic scaling exponent is made arbitrarily small. In this limit the system acquires an enhanced (Carrollian) boost symmetry. We show, both through the explicit computation of the path integral Jacobian and through the solution of the Wess-Zumino consistency conditions, that the translation symmetry in the anisotropic direction becomes anomalous. This turns out to be a mixed anomaly between boosts and translations. In a Newton-Cartan formulation of the space-time geometry such anomaly is sourced by torsion. We use these results to give an effective field theory description of the anomalous transport coefficients, which were originally computed through Kubo formulas in [1]. Along the way we provide a link with warped CFTs.https://doi.org/10.1007/JHEP01(2020)190Anomalies in Field and String TheoriesSpace-Time SymmetriesConformal Field Theory |
| spellingShingle | Christian Copetti Torsion and anomalies in the warped limit of Lifschitz theories Journal of High Energy Physics Anomalies in Field and String Theories Space-Time Symmetries Conformal Field Theory |
| title | Torsion and anomalies in the warped limit of Lifschitz theories |
| title_full | Torsion and anomalies in the warped limit of Lifschitz theories |
| title_fullStr | Torsion and anomalies in the warped limit of Lifschitz theories |
| title_full_unstemmed | Torsion and anomalies in the warped limit of Lifschitz theories |
| title_short | Torsion and anomalies in the warped limit of Lifschitz theories |
| title_sort | torsion and anomalies in the warped limit of lifschitz theories |
| topic | Anomalies in Field and String Theories Space-Time Symmetries Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2020)190 |
| work_keys_str_mv | AT christiancopetti torsionandanomaliesinthewarpedlimitoflifschitztheories |