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Journal of High Energy Physics

, 2018:50 | Cite as

Spin chain integrability in non-supersymmetric Wilson loops

  • Diego Correa
  • Matias LeoniEmail author
  • Solange Luque
Open Access
Regular Article - Theoretical Physics

Abstract

We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in \( \mathcal{N} \) = 4 super Yang-Mills, which interpolates between the supersymmetric Wilson-Maldacena loop and the ordinary Wilson loop with no scalar coupling. For SO(6) scalar insertions, we show that the 1-loop dilatation operator is integrable for the endpoints of the interpolation, i.e. either for the Wilson-Maldacena or the ordinary Wilson loop. Moreover, we also show that integrability persists for SU(2|3) insertions in the ordinary Wilson loop, even when the term making the spin chain length dynamical is included.

Keywords

AdS-CFT Correspondence Conformal Field Theory Integrable Field Theories Wilson, ’t Hooft and Polyakov loops 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.Instituto de Física La Plata, CONICET, Universidad Nacional de La PlataLa PlataArgentina
  2. 2.Departamento de Física, Universidad de Buenos Aires & IFIBA - CONICET Ciudad UniversitariaBuenos AiresArgentina

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