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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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The linear CS/WZW bulk/boundary system in AQFT

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
February 14, 2023
algebraic quantum field theory, boundary conditions in gauge theory, chiral conformal field theory, Chern-Simons theory, Wess-Zumino-Witten model
open access link doi:10.1007/s00023-023-01346-6

Generalized Orbifold Construction for Conformal Nets

Marcel Bischoff
July 31, 2016
conformal nets, completely rational nets, chiral conformal field theory
open access link Rev. Math. Phys. 29(01), 1750002 (2017)

A Remark on CFT Realization of Quantum Doubles of Subfactors. Case Index < 4

Marcel Bischoff
June 08, 2015
rational conformal field theories, chiral conformal field theory, subfactors, conformal nets
open access link Lett Math Phys 106(3), 341-363 (2016)

Multilocal fermionization

Karl-Henning Rehren, Gennaro Tedesco
May 02, 2012
chiral conformal field theory, modular flow, Ramond algebra, modular theory
open access link Lett. Math. Phys. 103 (2013) 19-36

On Super-KMS Functionals for Graded-Local Conformal Nets

Robin Hillier
April 24, 2012
chiral conformal field theory, entire cyclic cohomology, KMS condition, supersymmetry
open access link Ann. Henri Poincare 16 (2015), 1899-1936

Representations of Conformal Nets, Universal C*-Algebras and K-Theory

Sebastiano Carpi, Roberto Conti, Robin Hillier, Mihaly Weiner
February 12, 2012
chiral conformal field theory, representations, completely rational nets, universal C*-algebra, K-theory
open access link
to appear in Commun. Math. Phys.


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