Surface operators in the 6d N = (2, 0) theory

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The 6d N ==(2,0) theory has natural surface operator observables, which are akin in many ways to Wilson loops in gauge theories. We propose a definition of a 'locally BPS' surface operator and study its conformal anomalies, the analog of the conformal dimension of local operators. We study the abelian theory and the holographic dual of the large N theory refining previously used techniques. Introducing non-constant couplings to the scalar fields allows for an extra anomaly coefficient, which we find in both cases to be related to one of the geometrical anomaly coefficients, suggesting a general relation due to supersymmetry. We also comment on surfaces with conical singularities.

Original languageEnglish
Article number365401
JournalJournal Of Physics A-Mathematical And Theoretical
Issue number36
Publication statusPublished - 11 Sept 2020


  • 6d N=(2,0) theory
  • Conformal anomaly
  • Conical singularity
  • Supersymmetry
  • Surface operator


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