Matteo Beccaria, Stefan A. Kurlyand, Arkady A. Tseytlin
{"title":"On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S7/ℤk","authors":"Matteo Beccaria, Stefan A. Kurlyand, Arkady A. Tseytlin","doi":"10.1007/JHEP05(2025)187","DOIUrl":null,"url":null,"abstract":"<p>Planar parts of conformal dimensions of primary operators in <i>U</i><sub><i>k</i></sub>(<i>N</i>) × <i>U</i><sub>−<i>k</i></sub>(<i>N</i>) ABJM theory are controlled by integrability. Strong coupling asymptotics of planar dimensions of operators with large spins can be found from the energy of semiclassical strings in AdS<sub>4</sub> × CP<sup>3</sup> but computing non-planar corrections requires understanding higher genus string corrections. As was pointed out in arXiv:2408.10070, there is an alternative way to find the non-planar corrections by quantizing M2 branes in AdS<sub>4</sub> × <i>S</i><sup>7</sup>/ℤ<sub><i>k</i></sub> which are wrapped around the 11d circle of radius 1/<i>k</i> = <i>λ/N</i> and generalize spinning strings in AdS<sub>4</sub> × CP<sup>3</sup>. Computing the 1-loop correction to the energy of M2 brane that corresponds to the long folded string with large spin <i>S</i> in AdS<sub>4</sub> allowed to obtain a prediction for the large <i>λ</i> limit of non-planar corrections to the cusp anomalous dimension. Similar predictions were found for non-planar dimensions of operators dual to M2 branes that generalize the “short” and “long” circular strings with two equal spins <i>J</i><sub>1</sub> = <i>J</i><sub>2</sub> in CP<sup>3</sup>. Here we consider two more non-trivial examples of 1-loop M2 brane computations that correspond to: (i) long folded string with large spin <i>S</i> in AdS<sub>4</sub> and orbital momentum <i>J</i> in CP<sup>3</sup> whose energy determines the generalized cusp anomalous dimension, and (ii) circular string with spin <i>S</i> in AdS<sub>4</sub> and spin <i>J</i> in CP<sup>3</sup>. We find the leading terms of the expansion of the corresponding 1-loop M2 brane energies in 1/<i>k</i>. We also discuss similar semiclassical 1-loop M2 brane computation in flat 11d background and comment on possible relation to higher genus corrections to energies in 10d string theory.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 5","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP05(2025)187.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP05(2025)187","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
Planar parts of conformal dimensions of primary operators in Uk(N) × U−k(N) ABJM theory are controlled by integrability. Strong coupling asymptotics of planar dimensions of operators with large spins can be found from the energy of semiclassical strings in AdS4 × CP3 but computing non-planar corrections requires understanding higher genus string corrections. As was pointed out in arXiv:2408.10070, there is an alternative way to find the non-planar corrections by quantizing M2 branes in AdS4 × S7/ℤk which are wrapped around the 11d circle of radius 1/k = λ/N and generalize spinning strings in AdS4 × CP3. Computing the 1-loop correction to the energy of M2 brane that corresponds to the long folded string with large spin S in AdS4 allowed to obtain a prediction for the large λ limit of non-planar corrections to the cusp anomalous dimension. Similar predictions were found for non-planar dimensions of operators dual to M2 branes that generalize the “short” and “long” circular strings with two equal spins J1 = J2 in CP3. Here we consider two more non-trivial examples of 1-loop M2 brane computations that correspond to: (i) long folded string with large spin S in AdS4 and orbital momentum J in CP3 whose energy determines the generalized cusp anomalous dimension, and (ii) circular string with spin S in AdS4 and spin J in CP3. We find the leading terms of the expansion of the corresponding 1-loop M2 brane energies in 1/k. We also discuss similar semiclassical 1-loop M2 brane computation in flat 11d background and comment on possible relation to higher genus corrections to energies in 10d string theory.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
Underground and Large Array Physics
Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).