Algebraic & Geometric Topology Volume 18, issue 2 (2018)

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Conformal nets IV: The $3$-category

Arthur Bartels, Christopher L Douglas and André Henriques

Algebraic & Geometric Topology 18 (2018) 897–956

DOI: 10.2140/agt.2018.18.897

Bibliography

1	A Bartels, C L Douglas, A Henriques, Conformal nets, I : Coordinate-free nets, Int. Math. Res. Not. 2015 (2015) 4975 MR3439097
2	A Bartels, C L Douglas, A Henriques, Conformal nets, II : Conformal blocks, Comm. Math. Phys. 354 (2017) 393 MR3656522
3	A Bartels, C L Douglas, A Henriques, Conformal nets, III: Fusion of defects, (2013)
4	M Bischoff, Y Kawahigashi, R Longo, K H Rehren, Phase boundaries in algebraic conformal QFT, Comm. Math. Phys. 342 (2016) 1 MR3455144
5	R Brunetti, D Guido, R Longo, Modular structure and duality in conformal quantum field theory, Comm. Math. Phys. 156 (1993) 201 MR1234110
6	D Buchholz, G Mack, I Todorov, The current algebra on the circle as a germ of local field theories, Nuclear Phys. B Proc. Suppl. 5B (1988) 20 MR1002955
7	D Buchholz, H Schulz-Mirbach, Haag duality in conformal quantum field theory, Rev. Math. Phys. 2 (1990) 105 MR1079298
8	C L Douglas, A G Henriques, Internal bicategories, unpublished manuscript (2012) arXiv:1206.4284
9	F Gabbiani, J Fröhlich, Operator algebras and conformal field theory, Comm. Math. Phys. 155 (1993) 569 MR1231644
10	Y Kawahigashi, R Longo, Classification of local conformal nets : case c < 1, Ann. of Math. 160 (2004) 493 MR2123931
11	Y Kawahigashi, R Longo, M Müger, Multi-interval subfactors and modularity of representations in conformal field theory, Comm. Math. Phys. 219 (2001) 631 MR1838752
12	J N Mather, Commutators of diffeomorphisms, Comment. Math. Helv. 49 (1974) 512 MR0356129
13	A Wassermann, Operator algebras and conformal field theory, III : Fusion of positive energy representations of LSU(N) using bounded operators, Invent. Math. 133 (1998) 467 MR1645078