SciPost Phys. 17, 016 (2024) ·
published 16 July 2024
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We study M2-branes in AdS4×S7/Zk dual to 1/2 and 1/3 BPS vortex loop operators in ABJM theory and compute their one-loop correction beyond the classical M2-brane action. The correction depends only on the parity of k and is independent of all continuous parameters in the definition of the vortex loops. The result for odd k agrees with the answers for the 1/2 BPS Wilson loop in the k=1 theory and for even k with the one in the k=2 theory. Combining with the classical part, we find that the natural expansion parameter seems to be 1/√kN rather than 1/√N. This provides a further setting where semiclassical quantisation can be applied to M2-branes and produces new results inaccessible by other methods.