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.
The conformal boundary states for SU(2) at level 1
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abstract
For the case of the SU(2) WZW model at level one, the boundary states that only preserve the conformal symmetry are analysed. Under the assumption that the usual Cardy boundary states as well as their marginal deformations are consistent, the most general conformal boundary states are determined. They are found to be parametrised by group elements in SL(2,C).
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2026 2verdicts
UNVERDICTED 2representative citing papers
Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.
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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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Monitoring a de Sitter universe through an anti-de Sitter window
Proposes a duality between AdS3 gravity with dS2 branes and CFT2 with non-unitary boundary conditions to realize dS holography via complex saddles and state preparation in unitary AdS/CFT.