5 problems

State-extension conjecture. The states on $\mathcal{W}(M, {\bf g})$ are in 1--1 correspondence with Hadamard states on $\mathcal{A}(M, {\bf g})$ with smooth truncated $n$-point fun…

Let $(\mathcal{A},U,\Omega)$ be a Poincaré covariant net of local observables, and let $\operatorname*{QuOp}(\mathcal{A})$ denote its quantum operations. In the 3+1-dimensional con…

Landauer-bound conjecture. Either

Let the free field and an interacting field give rise to one-parameter semigroups of Longo–Witten endomorphisms. Conjecture on distinct Longo–Witten semigroups. These two one-param…

The one-dimensional Borchers triples are constructed from the S-matrix of the SU(2)-symmetric Thirring model, and the SU(2)-current algebra is the chiral component of a conformal f…