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Integrable matrix product state of ABJM theory from projecting method

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arxiv 2411.09282 v1 pith:3RLARA4I submitted 2024-11-14 hep-th

Integrable matrix product state of ABJM theory from projecting method

classification hep-th
keywords integrablestateabjmmatrixproducttheoryboundaryclass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we investigate the integrable boundary state in ABJM theory. We find an integrability condition for the two-site integrable matrix product state (MPS) similar to the KT-relation. We also construct a class of non-trivial MPSs from the projected K-matrices.

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Cited by 2 Pith papers

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

  1. 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.

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

    hep-th 2026-02 unverdicted novelty 6.0

    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.