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Conformal nets and local field theory

Abstract:

We describe a coordinate-free notion of conformal nets as a mathematical model of conformal field theory. We define defects between conformal nets and introduce composition of defects, thereby providing a notion of morphism between conformal field theories. Altogether we characterize the algebraic structure of the collection of conformal nets as a symmetric monoidal tricategory. Dualizable objects of this tricategory correspond to conformal-net-valued 3-dimensional local topological quantum f...

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Publication status:
Not published
Peer review status:
Not peer reviewed

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Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
Journal:
arXiv
Publication date:
2017-01-05
Pubs id:
pubs:190662
URN:
uri:194e005a-0763-451a-8dd9-4bb769eb92dd
UUID:
uuid:194e005a-0763-451a-8dd9-4bb769eb92dd
Local pid:
pubs:190662
Keywords:

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