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Conformal covariance and related properties of chiral QFT

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arxiv math/0703336 v1 pith:DCHFHWKZ submitted 2007-03-12 math.OA math-phmath.FAmath.MP

classification math.OAmath-phmath.FAmath.MP
keywords conformalalgebraschiralcirclecontentcovariancedescriptiondetailed
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This PhD thesis focuses on local conformal nets of von Neumann algebras on the circle. For a more detailed description of its content and of the results published within, see its preface.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case

    math-ph 2026-06 unverdicted novelty 7.0 of 10

    Constructs Minkowskian Cardy CFTs from arbitrary conformal nets and proves three forms of Haag duality interpreted as modular invariance, Cardy consistency, and Morita equivalence.

  2. Integrating positive energy representations of the Virasoro algebra

    math.FA 2025-06 conditional novelty 7.0 of 10

    Every unitary positive energy representation of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli, and every representation of the Virasoro conformal net carries the same ...

  3. The crossed braided tensor category of twisted and untwisted representations of the Heisenberg conformal net

    math.QA 2026-08 conditional novelty 6.0 of 10

    The twisted/untwisted representation category of the Heisenberg conformal net is the continuous Tambara-Yamagami category TY(R, chi_-, +1), whose Z/2-equivariantization describes representations of the fixed-point net.

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