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Open Spin Chains from Determinant Like Operators in ABJM Theory

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arxiv 1809.09941 v3 pith:K6I7RA4D submitted 2018-09-26 hep-th

Open Spin Chains from Determinant Like Operators in ABJM Theory

classification hep-th
keywords operatorsopenabjmdeterminantlikemathbbspintheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the mixing problem of the determinant like operators in ABJM theory to two loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping a $\mathbb{CP}^2$ inside $\mathbb{CP}^3$ in our case. The anomalous dimension matrix of these operators can be regarded as an open spin chain Hamiltonian. We provide strong evidence of its integrability based on coordinate Bethe ansatz method and boundary Yang-Baxter equation.

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Cited by 1 Pith paper

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

  1. 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.