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Integrable Conformal Defects in N=4 SYM

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arxiv 2406.13741 v2 pith:IB2J6AAV submitted 2024-06-19 hep-th

Integrable Conformal Defects in N=4 SYM

classification hep-th
keywords defectsappearconformalfieldfuzzyintegrablematrixset-ups
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we classify integrable conformal defects in N=4 SYM theory for which the scalar fields pick up a non-trivial vacuum expectation value. Defects of this form correspond to Dirichlet boundary conditions that have a pole at the defect. These set-ups typically appear on the field theory side of probe brane set-ups in the AdS/CFT correspondence. We show that such defects, for any codimension, are related to fuzzy spheres. We discuss the properties of the different possible fuzzy spheres that can appear and present the corresponding Matrix Product States. We furthermore set-up the quantum field theoretic framework by computing the mass matrix and finding the propagators.

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Cited by 2 Pith papers

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

  1. Holographic interpolations of defect CFTs

    hep-th 2025-12 unverdicted novelty 7.0

    A D5-D7 brane configuration in AdS5 x S5 provides an interpolating holographic dual for defect CFTs, with anomaly cancellation and a conjectured SYM solution.

  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.