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• W3143753985 abstract "A family of quantum fields is said to be strongly local if it generates a local netof von Neumann algebras. There are very limited methods of showingdirectlystronglocality of a quantum field. Among them, linear energy boundsare the most widelyused, yet a chiral conformal field of conformal weightd >2 cannot admit linear energybounds. We prove that if a chiral conformal field satisfies an energy bound of degree d−1, then it also satisfies a certain local version of the energybound, and this in turn implies strong locality. A central role in our proof is played by diffeomorphismsymmetry. As a concrete application, we show that the vertex operator algebra given by a unitary vacuum representation of theW3-algebra is strongly local. For central charge c >2, this yields a new conformal net. We further prove that these nets do notsatisfy strong additivity, and hence are not completely rational." @default.
• W3143753985 created "2021-04-13" @default.
• W3143753985 creator A5010471017 @default.
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• W3143753985 date "2021-03-30" @default.
• W3143753985 modified "2023-09-28" @default.
• W3143753985 title "Local energy bounds and strong locality in chiral CFT" @default.
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• W3143753985 hasPublicationYear "2021" @default.
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