Torsion and anomalies in the warped limit of Lifschitz theories

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...

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Detalles Bibliográficos
Autor: Copetti, Christian
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/691079
Acceso en línea:http://hdl.handle.net/10486/691079
https://dx.doi.org/10.1007/JHEP01(2020)190
Access Level:acceso abierto
Palabra clave:Anomalies in Field and String Theories
Conformal Field Theory
Space-Time Symmetries
Física
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spelling Torsion and anomalies in the warped limit of Lifschitz theoriesCopetti, ChristianAnomalies in Field and String TheoriesConformal Field TheorySpace-Time SymmetriesFísicaWe 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 CFTsThis work is supported by FPA2015-65480-P and by the Spanish Research Agency (Agencia Estatal de Investigación) through the grant IFT Centro de Excelencia Severo Ochoa SEV2016-0597. The work of C.C. is funded by Fundación La Caixa under “La Caixa-Severo Ochoa” international predoctoral grant. the author would like to thank Karl Landsteiner and Eric Bergshoeff for discussions and comments on the draft. He also would like to thank the organizers of the “Effective Theories of Quantum Phases of Matter” workshop at NORDITA, where part of this work was presentedSpringerDepartamento de Física TeóricaFacultad de Ciencias20202020-01-01research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/691079https://dx.doi.org/10.1007/JHEP01(2020)190reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6910792026-06-23T12:46:27Z
dc.title.none.fl_str_mv Torsion and anomalies in the warped limit of Lifschitz theories
title Torsion and anomalies in the warped limit of Lifschitz theories
spellingShingle Torsion and anomalies in the warped limit of Lifschitz theories
Copetti, Christian
Anomalies in Field and String Theories
Conformal Field Theory
Space-Time Symmetries
Física
title_short 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_sort Torsion and anomalies in the warped limit of Lifschitz theories
dc.creator.none.fl_str_mv Copetti, Christian
author Copetti, Christian
author_facet Copetti, Christian
author_role author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv Anomalies in Field and String Theories
Conformal Field Theory
Space-Time Symmetries
Física
topic Anomalies in Field and String Theories
Conformal Field Theory
Space-Time Symmetries
Física
description 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
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/691079
https://dx.doi.org/10.1007/JHEP01(2020)190
url http://hdl.handle.net/10486/691079
https://dx.doi.org/10.1007/JHEP01(2020)190
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
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