Algebraic conformal quantum field theory in perspective
arXiv:1501.03313 · doi:10.1007/978-3-319-21353-8_8
Abstract
Conformal quantum field theory is reviewed in the perspective of Axiomatic, notably Algebraic QFT. This theory is particularly developped in two spacetime dimensions, where many rigorous constructions are possible, as well as some complete classifications. The structural insights, analytical methods and constructive tools are expected to be useful also for four-dimensional QFT.
Review paper, 40 pages. v2: minor changes and references added, so as to match published version
References in corpus (8)
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- From vertex operator algebras to conformal nets and back
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Cited by in corpus (8)
- Conformal Field Theory, Tensor Categories and Operator Algebras
- Homotopical Quantum Field Theory
- Operads for algebraic quantum field theory
- Kitaev's quantum double model from a local quantum physics point of view
- Towards entanglement entropy with UV cutoff in conformal nets
- Infinite index extensions of local nets and defects
- Braided categories of endomorphisms as invariants for local quantum field theories
- Measurements in QFT: Weakly coupled local particle detectors and entanglement harvesting