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M2-doughnuts
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abstract
We present a family of new M2-brane solutions in $AdS_7\times S^4$ 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.
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Wilson Surface One-Point Functions: A Case Study
Holographic one-point functions for toroidal and cylindrical Wilson surfaces in AdS7/CFT6 are computed via uniform averaging over the dual M2-brane moduli space; they vanish in the OPE limit and at the origin, and are...
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