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Universality of Effective Central Charge in Interface CFTs

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arxiv 2308.05436 v3 pith:GDUEMTRH submitted 2023-08-10 hep-th cond-mat.str-el

Andreas Karch , Yuya Kusuki , Hirosi Ooguri , Hao-Yu Sun , Mianqi Wang This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords centralchargeeffectivecftsinterfacedimensionspropertiesuniversal
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the transmissive properties of the interface. In this article, we examine universal properties of the effective central charge. We first clarify how the effective central charge appears when considering general subsystems of the interface CFT. Then using this result and ideas used in the proof of the $c$-theorem, we provide a universal upper bound on the effective central charge. In past studies, the effective central charge was defined only in two dimensions. We propose an analogue of the effective central charge in general dimensions possessing similar universal properties as in two dimensions.

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Cited by 5 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. Complex Conformal Manifolds

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Complexified exactly-marginal couplings produce solvable complex CFTs, with the Ising defect verified numerically in non-Hermitian chains.

  3. Defect entanglement entropy for superconformal RG Interfaces

    hep-th 2026-07 conditional novelty 6.0 of 10

    A holographic computation of the defect entanglement entropy for superconformal RG interfaces between N=4 SYM and the Leigh-Strassler SCFT, finding a mass-squared scaling at large deformation and a relation between C^...

  4. 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.

  5. Janus correlators and Heun's equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the 3D Janus background, defect operator dimensions shift by O(c_J^2), and BOPE coefficients are read off as residues of Heun connection coefficients.

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