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Surface operators in the 6d $\mathcal{N} = (2,0)$ theory

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arxiv 2003.12372 v2 pith:QGL56GWU submitted 2020-03-27 hep-th

Nadav Drukker , Malte Probst , Maxime Trépanier This is my paper · ORCID
classification hep-th
keywords theorysurfaceanomalyconformalmathcaloperatoroperatorsabelian
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abstract

The 6d $\mathcal{N}=(2,0)$ 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.

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  1. An unusual BPS equation

    hep-th 2025-01 accept novelty 7.0 of 10

    All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.

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