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One-Point Functions of Non-protected Operators in the SO(5) symmetric D3-D7 dCFT

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arxiv 1612.06236 v3 pith:ILSUSQS5 submitted 2016-12-19 hep-th

classification hep-th
keywords operatorsfunctionsone-pointnumberbethed3-d7excitationsinstanton
verification ladder T0 review T1 audit T2 compute T3 formal

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We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N=4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU(2) and SU(3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.

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Cited by 3 Pith papers

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

  1. Integrable matrix product state of ABJM theory from projecting method

    hep-th 2024-11 conditional novelty 6.0 of 10

    This paper classifies projected K-matrix solutions and uses them to propose integrable matrix product states for the ABJM spin chain.

  2. 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.

  3. One-point functions in AdS/dCFT

    hep-th 2019-08 unverdicted novelty 1.0 of 10

    A review explains how one-point functions in a D3-D5 defect CFT reduce to integrable spin chain overlaps, expressible as determinant formulas.

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