On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k
Abstract Planar parts of conformal dimensions of primary operators in U k (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-p...
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2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)187 |
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| author | Matteo Beccaria Stefan A. Kurlyand Arkady A. Tseytlin |
| author_facet | Matteo Beccaria Stefan A. Kurlyand Arkady A. Tseytlin |
| author_sort | Matteo Beccaria |
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| description | Abstract Planar parts of conformal dimensions of primary operators in U k (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 × S 7/ℤ k 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 J 1 = J 2 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. |
| format | Article |
| id | doaj-art-1b85b5e17cf046e6bae82ba394232591 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-1b85b5e17cf046e6bae82ba3942325912025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513310.1007/JHEP05(2025)187On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ kMatteo Beccaria0Stefan A. Kurlyand1Arkady A. Tseytlin2Dipartimento di Matematica e Fisica Ennio De Giorgi and INFN - sezione di Lecce, Università del SalentoBlackett LaboratoryBlackett LaboratoryAbstract Planar parts of conformal dimensions of primary operators in U k (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 × S 7/ℤ k 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 J 1 = J 2 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.https://doi.org/10.1007/JHEP05(2025)1871/N ExpansionAdS-CFT CorrespondenceM-Theory |
| spellingShingle | Matteo Beccaria Stefan A. Kurlyand Arkady A. Tseytlin On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence M-Theory |
| title | On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k |
| title_full | On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k |
| title_fullStr | On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k |
| title_full_unstemmed | On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k |
| title_short | On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S 7/ℤ k |
| title_sort | on non planar abjm anomalous dimensions from m2 branes in ads4 s 7 z k |
| topic | 1/N Expansion AdS-CFT Correspondence M-Theory |
| url | https://doi.org/10.1007/JHEP05(2025)187 |
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