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String Integrability on the Coulomb Branch

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arxiv 2506.17955 v2 pith:CERX3CYF submitted 2025-06-22 hep-th

String Integrability on the Coulomb Branch

classification hep-th
keywords stringbranchcoulombd3-braneintegrabilityboundarybulkcharges
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Coulomb branch of the N = 4 super-Yang-Mills theory is described by a D3-brane in the bulk of AdS_5 x S^5. We show that boundary conditions on this D3-brane preserve integrability of the AdS string. For that matter we construct dynamical and spectral parameter dependent reflection matrix that encodes an infinite number of conserved charges on the worldsheet of an open string ending on the D-brane.

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Cited by 3 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.

  3. Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills

    hep-th 2025-12 unverdicted novelty 5.0

    Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.