On non-planar ABJM anomalous dimensions from M2 branes in AdS4 × S7/ℤk

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Matteo Beccaria, Stefan A. Kurlyand, Arkady A. Tseytlin
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引用次数: 0

Abstract

Planar parts of conformal dimensions of primary operators in Uk(N) × Uk(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.

AdS4 × S7/ k中M2膜的非平面ABJM异常维数
在Uk(N) × U−k(N) ABJM理论中,主算子共形尺寸的平面部分由可积性控制。从AdS4 × CP3中半经典弦的能量可以得到大自旋算子平面维的强耦合渐近性,但计算非平面修正需要理解更高的属弦修正。如arXiv:2408.10070中所指出的,存在另一种方法,通过量子化AdS4 × S7/ sk中围绕半径为1/k = λ/N的11d圆的M2膜并推广AdS4 × CP3中的自旋弦来求非平面改正。计算AdS4中长折叠弦大自旋S对应的M2膜能量的1环修正,可以预测尖异常维非平面修正的大λ极限。类似的预测也发现了对M2膜的对偶算子的非平面维度,它们推广了CP3中具有两个相等自旋J1 = J2的“短”和“长”圆弦。这里我们考虑了两个更重要的1环M2膜计算的例子,它们对应于:(i) AdS4中具有大自旋S和CP3中轨道动量J的长折叠弦,其能量决定了广义尖异常维数;(ii) AdS4中具有自旋S和CP3中具有自旋J的圆弦。我们在1/k中找到了相应的1环M2膜能量展开的先导项。我们还讨论了平面11d背景下类似的半经典1环M2膜计算,并评论了10d弦理论中对能量的高格修正的可能关系。
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
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).
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