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Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory

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arxiv 1907.11242 v2 pith:DKMVMFMX submitted 2019-07-25 hep-th math-phmath.MPnlin.SI

Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory

classification hep-th math-phmath.MPnlin.SI
keywords operatorsstateboundarycouplingdeterminantdualfunctionsoperator
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that they correspond to overlaps on the string worldsheet between an integrable boundary state and a state dual to the single-trace operator. We determine the boundary state using symmetry and integrability of the dual superstring sigma model, and write down expressions for the correlators at finite coupling, which we conjecture to be valid for operators of arbitrary size. The proposal is put to test at weak coupling.

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Cited by 4 Pith papers

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

  1. A universal scaling function for giant graviton OPE coefficients

    hep-th 2026-07 conditional novelty 7.0

    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. Quantum Gravity Corrections to Giant Graviton Correlators

    hep-th 2026-07 conditional novelty 6.0

    One-loop AdS supergravity correction to maximal giant graviton–supergraviton correlators is reconstructed in closed Mellin and position form via defect unitarity, including leading-twist anomalous dimensions.

  3. 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.

  4. 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.