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Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 01 July 2022

Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states

  • Michele Cirafici  ORCID: orcid.org/0000-0002-9940-32503 nAff1 nAff2 &
  • Michele Del Zotto6 nAff4 nAff5 

Journal of High Energy Physics volume 2022, Article number: 5 (2022) Cite this article

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A preprint version of the article is available at arXiv.

Abstract

It is possible to understand whether a given BPS spectrum is generated by a relevant deformation of a 4D \( \mathcal{N} \) = 2 SCFT or of an asymptotically free theory from the periodicity properties of the corresponding quantum monodromy. With the aim of giving a better understanding of the above conjecture, in this paper we revisit the description of framed BPS states of four-dimensional relativistic quantum field theories with eight conserved supercharges in terms of supersymmetric quantum mechanics. We unveil aspects of the deep interrelationship in between the Seiberg-dualities of the latter, the discrete symmetries of the theory in the bulk, and quantum discrete integrable systems.

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Author notes

  1. Michele Cirafici

    Present address: Dipartimento di Matematica e Geoscienze, Università di Trieste, Via A. Valerio 12/1, 34127, Trieste, Italy

  2. Michele Cirafici

    Present address: INFN, Sezione di Trieste, and Institute for Geometry and Physics, via Beirut 2, 34136, Trieste, Italy

  3. Michele Del Zotto

    Present address: Mathematics Institute, Uppsala University, Box 480, SE-75106, Uppsala, Sweden

  4. Michele Del Zotto

    Present address: Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120, Uppsala, Sweden

Authors and Affiliations

  1. CAMGSD, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    Michele Cirafici

  2. Simons Center for Geometry and Physics, SUNY, Stony Brook, NY, 11794-3636, USA

    Michele Del Zotto

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  1. Michele Cirafici
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Cirafici, M., Del Zotto, M. Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states. J. High Energ. Phys. 2022, 5 (2022). https://doi.org/10.1007/JHEP07(2022)005

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  • Received: 11 February 2022

  • Accepted: 27 May 2022

  • Published: 01 July 2022

  • DOI: https://doi.org/10.1007/JHEP07(2022)005

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Keywords

  • Nonperturbative Effects
  • Supersymmetric Gauge Theory
  • Extended Supersym- metry
  • Wilson, ’t Hooft and Polyakov loops
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