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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

The boundary entropy function for interface conformal field theories

classification hep-th cond-mat.str-el
keywords boundaryfunctioninterfaceconformaldetermineddimensionalentropyfield
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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{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.

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0

    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. Decoding the string in terms of holographic quantum maps

    hep-th 2025-09 unverdicted novelty 6.0

    Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.

  3. Connecting boundary entropy and effective central charge at holographic interfaces

    hep-th 2025-07 unverdicted novelty 6.0

    Holographic models of interface CFTs connect the effective central charge in entanglement entropy to a limiting case of boundary entropy, while adding finite terms for non-crossing intervals to satisfy strong subadditivity.

  4. The degrees of freedom of multiway junctions in three dimensional gravity

    hep-th 2025-09 unverdicted novelty 5.0

    n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect ...