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About From Vertex Operator Algebras to Conformal Nets and Back (Memoirs of the American Mathematical Society)
The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra $V$ a conformal net $mathcal AV$ acting on the Hilbert space completion of $V$ and prove that the isomorphism class of $mathcal AV$ does not depend on the choice of the scalar product on $V$. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra $V$, the map $Wmapsto mathcal AW$ gives a one-to-one correspondence between the unitary subalgebras $W$ of $V$ and the covariant subnets of $mathcal AV$.
Detailed Information
Author: | Sebastiano Carpi |
---|---|
Publication Year: | 2018 |
ISBN: | 9781470428587 |
Pages: | 97 |
Language: | English |
File Size: | 0.94140625 |
Format: | |
Price: | FREE |
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