M2-doughnuts

Abstract

We present a family of new M2-brane solutions in $Ad{S}_7\times S^4$ that calculate toroidal BPS surface operators in the $\mathcal{N}=(2,0)$ theory. These observables are conformally invariant and not subject to anomalies so we are able to evaluate their finite expectation values at leading order at large $N$. In the limit of a thin torus we find a cylinder, which is a natural surface generalization of both the circular and parallel lines Wilson loop. We study and comment on this limit in some detail.

7 pages; v2: reference added, published version

References in corpus (11)

• Gluon scattering amplitudes at strong coupling
• Giant Magnons
• Entanglement entropy, conformal invariance and extrinsic geometry
• Entanglement Entropy, Trace Anomalies and Holography
• Supersymmetric Wilson loops on S^3
• General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
• Surface Defect, Anomalies and $b$-Extremization
• Calibrated Surfaces and Supersymmetric Wilson Loops
• Wilson loops and minimal area surfaces in hyperbolic space
• Observations on BPS observables in 6d
• Special contact Wilson loops

Cited by in corpus (5)

• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• Ironing out the crease
• BPS surface operators and calibrations
• Rényi Entropy with Surface Defects in Six Dimensions
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory