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Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography

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arxiv 2112.10984 v3 pith:XFWLUVG6 submitted 2021-12-21 hep-th

Yuya Kusuki This is my paper · ORCID
classification hep-th
keywords bcftsboundaryconformalbootstrapbraneworldirrationalbecausebeen
verification ladder T0 review T1 audit T2 compute T3 formal
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Recently, boundary conformal field theories (BCFTs) have attracted much attention in the context of quantum gravity. This is because a BCFT can be dual to gravity coupled to a heat bath CFT, known as the island model. On this background, it would be interesting to explore the duality between the boundary and the braneworld. However, this seems to be a challenging problem. The reason is because although there has been much study of rational BCFTs, there has been comparatively little study of irrational BCFTs, and irrational BCFTs are expected to be the boundary duals of the braneworlds. For this reason, we explore properties of boundary ingredients: the boundary primary spectrum, the boundary-boundary-boundary OPE coefficients and the bulk-boundary OPE coefficients. For this purpose, the conformal bootstrap is extremely useful. This is the first step in providing an understanding of BCFTs in the context of braneworld holography by using the conformal bootstrap. The techniques developed in this paper may be useful for further investigation of irrational BCFTs.

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Cited by 3 Pith papers

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

  1. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0 of 10

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

  2. The many facets of a hyperbolic tetrahedron: open and closed triangulations of 3d gravity

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Open Virasoro TQFT equals fixed-length/angle 3d gravity path integrals on compact regions and yields the CTV–scalar Virasoro relation via open-closed duality.

  3. It from ETH: Multi-interval Entanglement and Replica Wormholes from Large-$c$ BCFT Ensemble

    hep-th 2025-05 conditional novelty 6.0 of 10

    The RT formula for entanglement in AdS3/CFT2, including phase transitions and multi-interval vacuum entropies, is derived from an assumed large-c ensemble of (B)CFT data, under the 'It from ETH' paradigm.

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