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Double brane holographic model dual to 2d ICFTs

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arxiv 2206.01752 v2 pith:5TNWMLN5 submitted 2022-06-03 hep-th

classification hep-th
keywords braneholographicinterfacesmathcalmodeltransmissioncoefficientdefect
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A minimal single-brane holographic model can be used as a dual to 2d conformal interfaces (ICFTs) to calculate the transmission coefficient $\mathcal{T}$ of energy transported across the defect as well as boundary entropy $\log g$, the additional entanglement entropy for some sub-region that encloses the defect. Both $\mathcal{T}$ and $\log g$ are uniquely determined by the tension characterizing the brane. In contrast, in field theory defects typically the transmission coefficient can be dialed from 0 to 1 independently for each allowed value of $\log g$. To address this discrepancy, we look at a double brane (3-region bulk) holographic model. Merger of two single brane interfaces creates genuinely new interfaces which indeed allow a range of accessible transmission coefficients for a fixed value of $\log g$. In particular, the $\mathcal{T}=0$ limit of two completely decoupled BCFTs can be achieved.

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  1. An unusual BPS equation

    hep-th 2025-01 accept novelty 7.0 of 10

    All rotation-invariant superconformal defects satisfy CD/aT = -2(n-1)(p+2)Γ(p+1)/(n π^{p-n/2} Γ(p/2+1)Γ((n-p)/2)), proved from supersymmetric Ward identities.

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