Abstract
Starting from the Polyakov action we consider two distinct Carroll limits in target space, keeping the string worldsheet relativistic. The resulting magnetic and chiral Carroll string models exhibit different symmetries and dynamics. Both models have an infinite dimensional symmetry algebra with Carroll symmetry included in a finite dimensional subalgebra. For the magnetic model, this is the so-called string Carroll algebra. The chiral model realises an extended version of the string Carroll algebra. The magnetic model does not have any transverse string excitations. The chiral model is less restrictive and includes arbitrary left-moving modes that carry transverse momentum but do not contribute to the energy in target space.
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Acknowledgments
We thank Oscar Fuentealba, Joaquim Gomis, Troels Harmark, Jelle Hartong, Emil Have, Niels Obers, Gerben Oling, and Ziqi Yan for discussions and insightful comments. Research supported by the Icelandic Research Fund Grant 228952-053 and by the University of Iceland Research Fund. LT would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the program “Black Holes: Bridges Between Number Theory and Holographic Quantum Information” where work on this paper was undertaken. This work was supported by EPSRC grant no EP/K032208/1. WS acknowledges support of the Simons Foundation through the INI-Simons Postdoctoral Fellowship.
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Harksen, M., Hidalgo, D., Sybesma, W. et al. Carroll strings with an extended symmetry algebra. J. High Energ. Phys. 2024, 206 (2024). https://doi.org/10.1007/JHEP05(2024)206
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DOI: https://doi.org/10.1007/JHEP05(2024)206