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The boundary entropy function for interface conformal field theories

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arxiv 2412.05381 v4 pith:VXA7EVXH submitted 2024-12-06 hep-th cond-mat.str-el

Evangelos Afxonidis , Andreas Karch , Chitraang Murdia This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords boundaryfunctioninterfaceconformaldetermineddimensionalentropyfield
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abstract

{In 1+1 dimensional conformal field theory with a boundary the boundary contribution to the entanglement entropy is determined by a single number $g$ effectively counting the boundary degrees of freedom. In contrast, in 1+1 dimensional interface CFTs the corresponding quantity is a non-trivial {\it function} depending on the position of the interval relative to the interface, giving access to much more detailed information about the defect. In this work we determined this $g$-function in several examples using holography and derive some of its basic properties from holography and strong subadditivity.

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Cited by 4 Pith papers

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

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.

  2. On decoding the string from interfaces in 2d conformal field theories

    hep-th 2025-11 conditional novelty 6.0 of 10

    Stringy vibrations of an AdS3 junction between two thermal CFTs map to half-sided conformal transformations, producing perfectly reflected wavepackets, and are readable from interval entanglement entropy even at zero tension.

  3. Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A probe-D5 holographic calculation gives analytic defect/interface entanglement entropy for massive D3/D5 intersections and shows the entropic C-function is monotonic but not always a finite degree-of-freedom count.

  4. Janus and RG-interfaces in minimal 3d gauged supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    New numerical interface solutions in a minimal 3d supergravity model satisfy the proposed universal inequality between transmission and entanglement.

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