Wilson-loop One-point Functions in ABJM Theory

التفاصيل البيبلوغرافية
العنوان: Wilson-loop One-point Functions in ABJM Theory
المؤلفون: Jiang, Yunfeng, Wu, Jun-Bao, Yang, Peihe
المصدر: JHEP 09(2023)047
سنة النشر: 2023
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop dilatation operator. The Wilson loop is in the fundamental representation of the gauge group or a suitable (super-)group. Such correlation functions at tree level can be written as an overlap of the Bethe state corresponding to the single trace operator and a boundary state which corresponds to the Wilson loop. There are various type of supersymmetric Wilson loops in ABJM theory. We show that some of them correspond to tree-level integrable boundary states while some are not. For the tree-level integrable ones, we prove their integrability and obtain analytic formula for the overlaps. For the non-integrable ones, we give examples of non-vanishing overlaps for Bethe states which violate selection rules.
Comment: v5, 33 pages, 3 figures, minor revision
نوع الوثيقة: Working Paper
DOI: 10.1007/JHEP09(2023)047
URL الوصول: http://arxiv.org/abs/2306.05773
رقم الأكسشن: edsarx.2306.05773
قاعدة البيانات: arXiv