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Integrable Wilson loops in ABJM: a Y-system computation of the cusp anomalous dimension

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  • Published: 27 June 2023
  • Volume 2023, article number 179, (2023)
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Integrable Wilson loops in ABJM: a Y-system computation of the cusp anomalous dimension
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  • Diego H. Correa1,
  • Victor I. Giraldo-Rivera  ORCID: orcid.org/0000-0001-6439-72601 &
  • Martín Lagares  ORCID: orcid.org/0000-0002-7587-88681 

  • 168 Accesses

  • 5 Citations

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A preprint version of the article is available at arXiv.

Abstract

We study the integrability properties of Wilson loops in the 𝒩 = 6 three-dimensional Chern-Simons-matter (ABJM) theory. We begin with the construction of an open spin chain that describes the anomalous dimensions of operators inserted along the contour of a 1/2 BPS Wilson loop. Moreover, we compute the all-loop reflection matrices that govern the interaction of spin-chain excitations with the boundary, including their dressing factors, and we check them against weak- and strong-coupling results. Furthermore, we propose a Y -system of equations for the cusped Wilson line of ABJM, and we use it to reproduce the one-loop cusp anomalous dimension of ABJM from a leading-order finite-size correction. Finally, we write a set of BTBA equations consistent with the Y -system proposal.

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Acknowledgments

We would like to thank C. Ahn, Z. Bajnok, J. Balog, L. Bianchi, A. Cavaglià, N. Gromov, J. Miczajka and M. Preti for useful discussions. We would like to especially thank J.Aguilera-Damia for collaboration at the early stages of this work for the string theory description of the problem. This work was partially supported by PICT 2020-03749, PIP 02229, UNLP X910 and PUE084 “Búsqueda de nueva física”. DHC would like to acknowledge support from the ICTP through the Associates Programme (2020-2025). ML is supported by fellowships from CONICET (Argentina) and DAAD (Germany).

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  1. Instituto de Física La Plata, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina

    Diego H. Correa, Victor I. Giraldo-Rivera & Martín Lagares

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  1. Diego H. Correa
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  2. Victor I. Giraldo-Rivera
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  3. Martín Lagares
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Correspondence to Martín Lagares.

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Correa, D.H., Giraldo-Rivera, V.I. & Lagares, M. Integrable Wilson loops in ABJM: a Y-system computation of the cusp anomalous dimension. J. High Energ. Phys. 2023, 179 (2023). https://doi.org/10.1007/JHEP06(2023)179

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  • Received: 13 April 2023

  • Accepted: 08 June 2023

  • Published: 27 June 2023

  • DOI: https://doi.org/10.1007/JHEP06(2023)179

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Keywords

  • AdS-CFT Correspondence
  • Integrable Field Theories
  • Wilson
  • ’t Hooft and Polyakov loops
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