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Roadmap on Wilson loops in 3d Chern-Simons-matter theories

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arxiv 1910.00588 v2 pith:XKBGH5C4 submitted 2019-10-01 hep-th

classification hep-th
keywords loopsresultstheorieswilsonaimsbaselinechapterschern-simons-matter
verification ladder T0 review T1 audit T2 compute T3 formal

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This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short chapters devoted to different questions and techniques. Some new results, perspectives and speculations are also presented. We hope this might serve as a baseline for further studies of this topic.

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Cited by 5 Pith papers

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

  1. An unusual BPS equation

    hep-th 2025-01 accept novelty 7.0 of 10

    All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.

  2. Non-planar corrections to ABJM Bremsstrahlung function from quantum M2 brane

    hep-th 2025-01 conditional novelty 7.0 of 10

    The one-loop M2 brane partition function in AdS4 x S7/Z_k reproduces B_1 = -(1/(2π k)) cot(2π/k), the localization value for the ABJM Bremsstrahlung function.

  3. Monodromy defects in ABJM theory and integrability

    hep-th 2026-08 conditional novelty 6.0 of 10

    Monodromy defects in ABJM theory are integrable boundary states, and their leading one-point functions are given by a closed overlap formula.

  4. Boundary bound states and integrable Wilson loops in ABJM

    hep-th 2026-02 conditional novelty 6.0 of 10

    Boundary Yangian symmetry fixes a two-parameter family of integrable reflection matrices for SU(1|2) boundaries with a degree of freedom, realized in ABJM Wilson loops as a boundary bound state.

  5. G-structures for AdS$_2$ solutions

    hep-th 2025-04 conditional novelty 3.0 of 10

    A G-structure framework classifies supersymmetric AdS2 solutions of Type II supergravity, yielding two new families: massive IIA with a weak G2 manifold and IIB with AdS2 x S2 x CY2 x Sigma2.

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