SciPost Submission Page
Vortex loop operators and quantum M2-branes
by Nadav Drukker, Omar Shahpo
Submission summary
| Authors (as registered SciPost users): | Omar Shahpo |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2312.17091v1 (pdf) |
| Date submitted: | 2024-02-12 12:18 |
| Submitted by: | Shahpo, Omar |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study M2-branes in $AdS_4\times S^7/{\mathbb Z}_k$ 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 continues 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.
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Strengths
1) interesting topic
2) concisely but clearly written
3) detailed computations, which can be easily be reproduced
Report
This paper tackles a general, important problem in holography, which is the computation of one-loop corrections of holographic duals of certain non-local operators. In this particular case, the gauge theory operators are 1/2 BPS and 1/3 BPS vortex loops in ABJM theory and their duals are M2 branes in AdS4xS7. The authors manage to show that the quadratic fluctuations around the classical M2 brane action reduce, for these operators, to previously known cases, whose results can then be recycled. This provides a new prediction for a (at the moment missing) localization computation, which would be worthwhile to attempt to try to match eq. (1.5), the main result of this paper.