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

@article{Drukker2020SurfaceOI, title={Surface operators in the 6d N = (2, 0) theory}, author={Nadav Drukker and Malte Probst and Maxime Tr'epanier}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2020}, volume={53} }

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…

## 15 Citations

Defect CFT techniques in the 6d
N
$$ \mathcal{N} $$
= (2, 0) theory

- Mathematics
- 2020

Surface operators are among the most important observables of the 6d N $$ \mathcal{N} $$ = (2 , 0) theory. Here we apply the tools of defect CFT to study local operator insertions into the 1 / 2-BPS…

Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS7 × S4

- MathematicsJournal of High Energy Physics
- 2020

Abstract
Surface operators in the 6d (2,0) theory at large N have a holographic description in terms of M2 branes probing the AdS7×S4 M-theory background. The most symmetric, 1/2-BPS, operator is…

Surface operators in superspace

- Mathematics
- 2020

We generalize the geometrical formulation of Wilson loops recently introduced in arXiv:2003.01729v2 to the description of Wilson Surfaces. For N=(2,0) theory in six dimensions, we provide an explicit…

Line and surface defects for the free scalar field

- MathematicsJournal of High Energy Physics
- 2021

For a single free scalar field in d ≥ 2 dimensions, almost all the unitary conformal defects must be ‘trivial’ in the sense that they cannot hold interesting dynamics. The only possible exceptions…

Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines

- Physics
- 2020

We initiate the classification of unitary superconformal defects in unitary superconformal field theories (SCFT) of diverse spacetime dimensions $3\leq d \leq 6$. Our method explores general…

Observations on BPS observables in 6D

- Mathematics, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2021

We study possible geometries and R-symmetry breaking patterns that lead to globally BPS surface operators in the six dimensional N=(2,0) theory. We find four main classes of solutions in different…

Ironing out the crease

- Physics
- 2022

The crease is a surface operator folded by a ﬁnite angle along an inﬁnite line. Several realisations of it in the 6d N = (2 , 0) theory are studied here. It plays a role similar to the generalised…

Non-Perturbative Defects in Tensor Models from Melonic Trees

- Mathematics
- 2022

The Klebanov-Tarnopolsky tensor model is a quantum ﬁeld theory for rank-three tensor scalar ﬁelds with certain quartic potential. The theory possesses an unusual large N limit known as the melonic…

Broken R-symmetry and defect conformal manifolds

- Mathematics
- 2022

Just as exactly marginal operators allow to deform a conformal ﬁeld theory along the space of theories known as the conformal manifold, appropriate operators on conformal defects allow for…

M2-doughnuts

- Mathematics, PhysicsJournal of High Energy Physics
- 2022

Abstract
We present a family of new M2-brane solutions in AdS7× S4 that calculate toroidal BPS surface operators in the $$ \mathcal{N} $$
N
= (2, 0) theory. These observables are conformally…

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