An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
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Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.
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Exactly solvable non-unitary conformal interfaces in unitary CFTs
An SL(2,C)-parametrized family of exactly solvable non-unitary conformal interfaces is constructed on the lattice in unitary CFTs via analytic continuation, leading to a non-unitary Cardy condition and logarithmic entanglement with generally complex effective central charge.
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Complex Conformal Manifolds
Analytic continuation of marginal couplings produces complex CFTs, with no genuinely complex rational CFTs existing, and exact defect results verified in non-Hermitian Ising and fermion chains.
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Local CFTs extremise $F$
Local CFTs lie at the extrema of the sphere free energy tilde F for nonlocal CFT lines, and maximize it when unitary.