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  • Letter
  • Open Access

Carrollian supersymmetry and SYK-like models

Oguzhan Kasikci1,*, Mehmet Ozkan1,†, Yi Pang2,3,‡, and Utku Zorba1,§

  • *Contact author: kasikcio@itu.edu.tr
  • †Contact author: ozkanmehm@itu.edu.tr
  • ‡Contact author: pangyi1@tju.edu.cn
  • §Contact author: zorba@itu.edu.tr
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Phys. Rev. D 110, L021702 – Published 22 July, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L021702

Abstract

This work challenges the conventional notion that in a spacetime dimension higher than one, a supersymmetric Lagrangian invariably consists of purely bosonic terms, purely fermionic terms, as well as boson-fermion mixing terms. By recasting a relativistic Lagrangian in terms of its nonrelativistic and ultrarelativistic sectors, we reveal that an ultrarelativistic (Carrollian) supersymmetric Lagrangian exhibits an exotic feature; that is, it can exist without a purely bosonic contribution. Based on this result, we demonstrate a link between higher-dimensional Carrollian and (0+1)-dimensional quantum mechanical models, yielding higher-order extensions of supersymmetric Sachdev-Ye-Kitaev (SYK) models in which purely bosonic higher-order terms are absent. Given that supersymmetry plays an essential role in improving the quantum behavior and solubility, our findings may lead to interesting applications in non-AdS holography.

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Outline

Information

Phys. Rev. D 110, L021702– Published 22 July, 2024
  • Received 15 January 2024
  • Accepted 19 June 2024
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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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