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  • Letter
  • Open Access

Extending the nonrelativistic string AdS coset

Andrea Fontanella*

Juan Miguel Nieto García†

  • Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada

  • Department of Mathematics, University of Surrey, Guildford GU2 7XH, United Kingdom

  • *a.fontanella.physics@gmail.com
  • †j.nietogarcia@surrey.ac.uk
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Phys. Rev. D 106, L121901 – Published 8 December, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L121901

Abstract

Inspired by Lie algebra expansion, we consider an extension of the algebra introduced in A. Fontanella and S. J. van Tongeren [Coset space actions for nonrelativistic strings, J. High Energy Phys. 06 (2022) 80.] for the nonrelativistic string coset action in AdS5×S5. We show that the extended algebra admits a nondegenerate inner product which is adjoint invariant under the full extended algebra. Furthermore, we provide a finite-dimensional representation of the extended algebra.

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References (12)

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Phys. Rev. D 106, L121901– Published 8 December, 2022
  • Received 6 September 2022
  • Accepted 22 November 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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