Abstract
We present a family of new M2-brane solutions in that calculate toroidal BPS surface operators in the 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 . 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.
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