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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Acknowledgments
We thank Eric Bergshoeff, Andrea Fontanella and Ziqi Yan for useful discussions. The work of JH is supported by the Royal Society University Research Fellowship (renewal) “Non-Lorentzian String Theory” (grant number URF\R\221038) and in part by the Leverhulme Trust Research Project Grant (RPG-2019-218) “What is Non-Relativistic Quantum Gravity and is it Holographic?”. The work of LB was supported by the Royal Society Research Fellows Enhancement Award 2017 “Non-Relativistic Holographic Dualities” (grant number RGF EA 180149). The work of TH, NO and GO is supported in part by the project “Towards a deeper understanding of black holes with non-relativistic holography” of the Independent Research Fund Denmark (grant number DFF-6108-00340). The work of NO and GO is supported in part by VR project grant 2021-04013. The work of NO is also supported by the Villum Foundation Experiment project 00050317, “Exploring the wonderland of Carrollian physics: Extreme gravity, spacetime horizons and supersonic fluids”. Nordita is supported in part by Nordforsk.
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Bidussi, L., Harmark, T., Hartong, J. et al. Longitudinal Galilean and Carrollian limits of non-relativistic strings. J. High Energ. Phys. 2023, 141 (2023). https://doi.org/10.1007/JHEP12(2023)141
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DOI: https://doi.org/10.1007/JHEP12(2023)141