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Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory

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arxiv 2207.06866 v1 pith:3QEK5QTK submitted 2022-07-14 hep-th math-phmath.MP

Tamas Gombor , Charlotte Kristjansen This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords theoryabjmbonddimensionmatrixoverlapsproductstates
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We find a closed formula for the overlap of Bethe eigenstates of an alternating $SU(4)$ spin chain, describing the scalar sector of ABJM theory, and matrix product states of any bond dimension representing 1/2 BPS co-dimension one domain walls in the field theory. One point functions of the defect CFTs involved, being directly expressible in terms of these overlaps, are hence completely determined.

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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. 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.

  2. 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.

  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. 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.

  5. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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