Bisognano–Wichmann Property for Rigid Categorical Extensions and Non-local Extensions of Conformal Nets
نویسندگان
چکیده
Given an (irreducible) Mobius covariant net $\mathcal A$, we prove a Bisognano-Wichmann theorem for its categorical extension $\mathscr E^{\textrm{d}}$ associated to the braided $C^*$-tensor category $\textrm{Rep}^{\textrm{d}}(\mathcal A)$ of dualizable (more precisely "dualized") A$-modules. As closely related result, (modified) any (possibly) non-local A$ obtained by $C^*$-Frobenius algebra $Q$ in A)$. application, discuss relation between domains modular operators and preclosedness certain unbounded E^{\textrm{d}}$.
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2021
ISSN: ['1424-0661', '1424-0637']
DOI: https://doi.org/10.1007/s00023-021-01078-5