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Conformal quantum field theory is reviewed in the perspective of Axiomatic, notably Algebraic QFT.
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G. Mack, Introduction to conformal invariant quantum field theory in two and more dimensions
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S. Doplicher, J.E. Roberts, Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
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K. Fredenhagen, K.-H. Rehren, B. Schroer, Superselection sectors with braid group statistics and exchange algebras. I
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R. Brunetti, D. Guido, R. Longo, Modular structure and duality in conformal quantum field theory
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N.M. Nikolov, K.-H. Rehren, I.T. Todorov, Partial wave expansion and Wightman positivity in conformal field theory
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Y. Kawahigashi, R. Longo, Local conformal nets arising from framed vertex operator algebras
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F. Xu, Mirror extensions of local nets
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J. Böckenhauer, D. Evans, Y. Kawahigashi, Chiral structure of modular invariants for subfactors
2000
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D. Buchholz, R. Haag, The quest for understanding in relativistic quantum physics
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K.-H. Rehren, Canonical tensor product subfactors
2000
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K.-H. Rehren, Algebraic holography
2000
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F.A. Dolan, H. Osborn, Conformal four point functions and the operator product expansion
2001
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R. Kähler, H.-W. Wiesbrock, Modular theory and the reconstruction of four-dimensional quantum field theories
2001
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L. Kong, I. Runkel, Morita classes of algebras in modular tensor categories
2008
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G. Lechner, Construction of quantum field theories with factorizing S-matrices
2008
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R. Longo, K.-H. Rehren, How to remove the boundary in CFT – an operator algebraic procedure
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D. Buchholz, G. Lechner, S.J. Summers, Warped convolutions, Rieffel deformations and the construction of quantum field theories
2011
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R. Longo, E. Witten, An algebraic construction of boundary quantum field theory
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S. Alazzawi, Deformation of fermionic quantum field theories and integrable models,
2012
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Y. Tanimoto, Construction of wedge-local nets of observables through Longo-Witten endomorphisms
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M. Bischoff, Y. Tanimoto, Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II
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S. Carpi, Y. Kawahigashi, R. Longo, How to add a boundary condition
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G. Lechner, J. Schlemmer, Y. Tanimoto, On the equivalence of two deformation schemes in quantum field theory
2013
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C. Neumann, K.-H. Rehren, L. Wallenhorst, New methods in conformal partial wave analysis
2013
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D. Buchholz, J.E. Roberts, New light on infrared problems: Sectors, statistics, symmetries and spectrum
2014
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2014
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S. Alazzawi, Deformation of quantum field theories and the construction of interacting models
2015
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2015
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Ch. Köhler, On the localization properties of quantum fields with zero mass and infinite spin
2015
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