Pith. sign in

REVIEW 7 cited by

Three-Point Functions in ABJM and Bethe Ansatz

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2103.15840 v3 pith:DALJOP3J submitted 2021-03-29 hep-th

Peihe Yang , Yunfeng Jiang , Shota Komatsu , Jun-Bao Wu This is my paper · ORCID
classification hep-th
keywords operatorsabjmbethesingle-traceansatzchainconstantsdeterminant
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the planar limit. In this first paper, we study them at weak coupling using a relation to an integrable spin chain. We first develop a nested Bethe ansatz for an alternating SU(4) spin chain that describes single-trace operators made out of scalar fields. We then apply it to the computation of the structure constants and show that they are given by overlaps between a Bethe eigenstate and a matrix product state. We conjecture that the determinant operator corresponds to an integrable matrix product state and present a closed-form expression for the overlap, which resembles the so-called Gaudin determinant. We also provide evidence for the integrability of general sub-determinant operators. The techniques developed in this paper can be applied to other quantities in ABJM theory including three-point functions of single-trace operators.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 7 Pith papers

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

  1. A universal scaling function for giant graviton OPE coefficients

    hep-th 2026-07 conditional novelty 7.0 of 10

    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. Derivations for the MPS overlap formulas of rational spin chains

    hep-th 2025-05 conditional novelty 7.0 of 10

    A universal, representation-independent MPS overlap formula is proved for glN rational spin chains and proposed for soN and spN chains.

  3. The spectrum of defect ABJM theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    The quantum fluctuation spectrum of the 1/2-BPS ABJM domain wall is diagonalized and shown to organize into supersymmetric multiplets with conformal dimensions differing by 1/2.

  4. Exact g-function without strings

    hep-th 2024-12 conditional novelty 7.0 of 10

    The exact g-function of sine-Gordon theory with non-diagonal scattering is computed for the first time using lattice regularization and Bethe ansatz.

  5. 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.

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

    hep-th 2026-07 accept novelty 6.0 of 10

    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.

  7. Integrable matrix product state of ABJM theory from projecting method

    hep-th 2024-11 conditional novelty 6.0 of 10

    This paper classifies projected K-matrix solutions and uses them to propose integrable matrix product states for the ABJM spin chain.

Pith tools