## Abstract

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 language | English |
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Article number | 365401 |

Journal | Journal Of Physics A-Mathematical And Theoretical |

Volume | 53 |

Issue number | 36 |

DOIs | |

Publication status | Published - 11 Sept 2020 |

## Keywords

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