The Witt-to-interface conjecture for rational conformal field theories

Let T\mathcal{T} and T\mathcal{T}' be RCFTs with positive chiral algebras. RCFT Witt-to-interface conjecture. If T\mathcal{T} and T\mathcal{T}' belong to the same Witt class, then they are interface equivalent. The claim is presented as an open converse to the theorem that interface equivalence implies Witt equivalence for RCFTs.

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Primary source

Sven Möller and Brandon C. Rayhaun, “Equivalence Relations on Vertex Operator Algebras, II: Witt Equivalence and Orbifolds”, arXiv:2410.18166 (2025).

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