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Longitudinal Galilean and Carrollian limits of non-relativistic strings
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, UK.
Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark.
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, UK.
Nordita SU; Niels Bohr International Academy, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark.ORCID iD: 0000-0003-4947-8526
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2023 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2023, no 12, article id 141Article in journal (Refereed) Published
Abstract [en]

It is well known that one can take an infinite speed of light limit that gives rise to non-relativistic strings with a relativistic worldsheet sigma model but with a non-relativistic target space geometry. In this work we systematically explore two further limits in which the worldsheet becomes non-Lorentzian. The first gives rise to a Galilean string with a Galilean structure on the worldsheet, extending previous work on Spin Matrix-related string theory limits. The second is a completely novel limit leading to a worldsheet theory with a Carrollian structure. We find the Nambu-Goto and Polyakov formulations of both limits and explore gauge fixing choices. Furthermore, we study in detail the case of the Galilean string for a class of target space geometries that are related to Spin Matrix target space geometries, for which the Nambu-Goto action (in static gauge) is quadratic in the fields.

Place, publisher, year, edition, pages
Springer Nature , 2023. Vol. 2023, no 12, article id 141
Keywords [en]
Bosonic Strings, Sigma Models, Space-Time Symmetries
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-342145DOI: 10.1007/JHEP12(2023)141ISI: 001132211200002Scopus ID: 2-s2.0-85180698925OAI: oai:DiVA.org:kth-342145DiVA, id: diva2:1827604
Note

QC 20241104

Available from: 2024-01-15 Created: 2024-01-15 Last updated: 2024-11-04Bibliographically approved

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Obers, Niels A.

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