质量变形 ABJM 理论中的 BPS 威尔逊环:费米气体展开和新的缺陷 CFT 数据

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY SciPost Physics Pub Date : 2024-08-06 DOI:10.21468/scipostphys.17.2.035
Elisabetta Armanini, Luca Griguolo, Luigi Guerrini
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引用次数: 0

摘要

我们利用费米气体技术计算了质量变形 ABJM 理论中 BPS 威尔逊环的期望值。我们用艾里函数得到了明确的结果,有效地复述了1/N扩展的全部指数小项。这些表达式使我们能够在存在 1/2-BPS 威尔逊线的情况下,推导出属于应力张量多重的拓扑算子的多点相关函数。从一点相关器中,我们恢复了 ABJM 轫致辐射函数,很好地证实了之前通过纬度威尔逊环获得的结果。同样,高点相关器也可用于为高维拓扑算子迭代提取新的缺陷 CFT 数据。我们以两个应力张量多子的 OPE 中出现的二维算子为例,进行了详细说明。
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BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
We compute the expectation values of BPS Wilson loops in the mass-deformed ABJM theory using the Fermi gas technique. We obtain explicit results in terms of Airy functions, effectively resumming the full 1/N expansion up to exponentially small terms. These expressions enable us to derive multi-point correlation functions for topological operators belonging to the stress tensor multiplet, in the presence of a 1/2-BPS Wilson line. From the one-point correlator, we recover the ABJM Bremsstrahlung function, confirming nicely previous results obtained through latitude Wilson loops. Likewise, higher point correlators can be used to extract iteratively new defect CFT data for higher dimensional topological operators. We present a detailed example of the dimension-two operator appearing in the OPE of two stress tensor multiplets.
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来源期刊
SciPost Physics
SciPost Physics Physics and Astronomy-Physics and Astronomy (all)
CiteScore
8.20
自引率
12.70%
发文量
315
审稿时长
10 weeks
期刊介绍: SciPost Physics publishes breakthrough research articles in the whole field of Physics, covering Experimental, Theoretical and Computational approaches. Specialties covered by this Journal: - Atomic, Molecular and Optical Physics - Experiment - Atomic, Molecular and Optical Physics - Theory - Biophysics - Condensed Matter Physics - Experiment - Condensed Matter Physics - Theory - Condensed Matter Physics - Computational - Fluid Dynamics - Gravitation, Cosmology and Astroparticle Physics - High-Energy Physics - Experiment - High-Energy Physics - Theory - High-Energy Physics - Phenomenology - Mathematical Physics - Nuclear Physics - Experiment - Nuclear Physics - Theory - Quantum Physics - Statistical and Soft Matter Physics.
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