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Wilson-loop One-point Functions in ABJM Theory

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arxiv 2306.05773 v5 pith:4EUDFKK6 submitted 2023-06-09 hep-th

Wilson-loop One-point Functions in ABJM Theory

classification hep-th
keywords operatorwilsonabjmfunctionsloopsingletheorytrace
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    hep-th 2026-07 conditional novelty 7.0

    In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.

  2. The type IIA Virasoro-Shapiro amplitude in AdS$_4$ $\times$ CP$^3$ from ABJM theory

    hep-th 2024-12 unverdicted novelty 7.0

    Fixes the leading AdS curvature corrections to the type IIA Virasoro-Shapiro amplitude in AdS4 x CP3 by matching resonances in the ABJM stress-tensor correlator to a single-valued polylog worldsheet ansatz.

  3. Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations

    hep-th 2026-07 accept novelty 6.0

    Integrable chiral and achiral n-site boundary states of the ABJM spin chain are obtained by solving KT-relations for elementary blocks and K(u), with nontrivial solutions for even n and operator-valued 1-site Clifford pairs.

  4. Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations

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    A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.