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arXiv · 2309.14467

Longitudinal Galilean and Carrollian limits of non-relativistic strings

Leo Bidussi·Troels Harmark·Jelle Hartong·Niels A. Obers·Gerben Oling
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Abstract

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.

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Leo Bidussi, Troels Harmark, Jelle Hartong, Niels A. Obers, Gerben Oling. 2023-09-25. Longitudinal Galilean and Carrollian limits of non-relativistic strings. https://doi.org/10.1007/jhep12(2023)141

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