1/3 BPS loops and defect CFTs in ABJM theory

Abstract We address a longstanding question of whether ABJM theory has Wilson loop operators preserving eight supercharges (so 1/3 BPS). We present such Wilson loops made of a large supermatrix combining two 1/2 BPS Wilson loops. We study the spectrum of operator insertions into them including the d...

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Main Authors: Nadav Drukker, Ziwen Kong
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP06(2023)137
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author Nadav Drukker
Ziwen Kong
author_facet Nadav Drukker
Ziwen Kong
author_sort Nadav Drukker
collection DOAJ
description Abstract We address a longstanding question of whether ABJM theory has Wilson loop operators preserving eight supercharges (so 1/3 BPS). We present such Wilson loops made of a large supermatrix combining two 1/2 BPS Wilson loops. We study the spectrum of operator insertions into them including the displacement operator and several others and study their correlation functions. Another natural construction arising in this context are Wilson loops with alternating superconnections. This amounts to including “defect changing operators” along the loop, similar to a discrete cusp. This insertion is topological and preserves two supercharges. We study the multiplet of this operator and how it can be used to introduce further operators. We also construct the defect conformal manifold arising from marginal defect operators.
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spelling doaj.art-0a65f98c6b2e4b4ca700253da17173732023-09-24T11:06:00ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023613510.1007/JHEP06(2023)1371/3 BPS loops and defect CFTs in ABJM theoryNadav Drukker0Ziwen Kong1Department of Mathematics, King’s College LondonDepartment of Mathematics, King’s College LondonAbstract We address a longstanding question of whether ABJM theory has Wilson loop operators preserving eight supercharges (so 1/3 BPS). We present such Wilson loops made of a large supermatrix combining two 1/2 BPS Wilson loops. We study the spectrum of operator insertions into them including the displacement operator and several others and study their correlation functions. Another natural construction arising in this context are Wilson loops with alternating superconnections. This amounts to including “defect changing operators” along the loop, similar to a discrete cusp. This insertion is topological and preserves two supercharges. We study the multiplet of this operator and how it can be used to introduce further operators. We also construct the defect conformal manifold arising from marginal defect operators.https://doi.org/10.1007/JHEP06(2023)137Chern-Simons TheoriesGlobal SymmetriesSupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loops
spellingShingle Nadav Drukker
Ziwen Kong
1/3 BPS loops and defect CFTs in ABJM theory
Journal of High Energy Physics
Chern-Simons Theories
Global Symmetries
Supersymmetric Gauge Theory
Wilson
’t Hooft and Polyakov loops
title 1/3 BPS loops and defect CFTs in ABJM theory
title_full 1/3 BPS loops and defect CFTs in ABJM theory
title_fullStr 1/3 BPS loops and defect CFTs in ABJM theory
title_full_unstemmed 1/3 BPS loops and defect CFTs in ABJM theory
title_short 1/3 BPS loops and defect CFTs in ABJM theory
title_sort 1 3 bps loops and defect cfts in abjm theory
topic Chern-Simons Theories
Global Symmetries
Supersymmetric Gauge Theory
Wilson
’t Hooft and Polyakov loops
url https://doi.org/10.1007/JHEP06(2023)137
work_keys_str_mv AT nadavdrukker 13bpsloopsanddefectcftsinabjmtheory
AT ziwenkong 13bpsloopsanddefectcftsinabjmtheory