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Analytic Bootstrap for Boundary CFT
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abstract
We propose a method to analytically solve the bootstrap equation for two point functions in boundary CFT. We consider the analytic structure of the correlator in Lorentzian signature and in particular the discontinuity of bulk and boundary conformal blocks to extract CFT data. As an application, the correlator $\langle \phi \phi \rangle$ in $\phi^4$ theory at the Wilson-Fisher fixed point is computed to order $\epsilon^2$ in the $\epsilon$ expansion.
Forward citations
Cited by 4 Pith papers
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Transdimensional Defects
Defects of continuously adjustable dimension p=2+δ are defined and analyzed in the O(N) model, yielding new interfaces and non-local 3d CFTs.
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Surprises in the Ordinary: $O(N)$ Invariant Surface Defect in the $\epsilon$-expansion
The authors compute defect CFT data to third order in the epsilon expansion and discover approximate 'shadow' relations between surface and bulk scaling dimensions.
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Probing holographic conformal field theories
In a holographic CFT on a cylinder, a qutrit Unruh-DeWitt detector harvests more mana when the dual bulk scalar uses standard (Δ+) quantization than alternate (Δ−) quantization.
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Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect
A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.
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