TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.016
TI  - Vortex loop operators and quantum M2-branes
PY  - 2024/07/16
UR  - https://scipost.org/SciPostPhys.17.1.016
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 016
A1  - Drukker, Nadav
AU  - Shahpo, Omar
AB  - We study M2-branes in $AdS_4× S^7/\mathbb{Z}_k$ 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 $1/\sqrt{kN}$ rather than $1/\sqrt{N}$. This provides a further setting where semiclassical quantisation can be applied to M2-branes and produces new results inaccessible by other methods.
ER  -

@Article{10.21468/SciPostPhys.17.1.016,
	title={{Vortex loop operators and quantum M2-branes}},
	author={Nadav Drukker and Omar Shahpo},
	journal={SciPost Phys.},
	volume={17},
	pages={016},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.016},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.016},
}