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A non-integrable quench from AdS/dCFT

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arxiv 1906.10714 v1 pith:7HL3V2RR submitted 2019-06-25 hep-th cond-mat.stat-mech

classification hep-thcond-mat.stat-mech
keywords statematrixproductfunctionsone-pointactingchaindcft
verification ladder T0 review T1 audit T2 compute T3 formal

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We study the matrix product state which appears as the boundary state of the AdS/dCFT set-up where a probe D7 brane wraps two two-spheres stabilized by fluxes. The matrix product state plays a dual role, on one hand acting as a tool for computing one-point functions in a domain wall version of N=4 SYM and on the other hand acting as the initial state in the study of quantum quenches of the Heisenberg spin chain. We derive a number of selection rules for the overlaps between the matrix product state and the eigenstates of the Heisenberg spin chain and in particular demonstrate that the matrix product state does not fulfill a recently proposed integrability criterion. Accordingly, we find that the overlaps can not be expressed in the usual factorized determinant form. Nevertheless, we derive some exact results for one-point functions of simple operators and present a closed formula for one-point functions of more general operators in the limit of large spin-chain length.

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Cited by 2 Pith papers

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

  1. 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.

  2. 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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