\(N=2\) superconformal nets

DOI10.1007/s00220-014-2234-3zbMath1318.81057arXiv1207.2398OpenAlexW3102422969MaRDI QIDQ2018322

Yasuyuki Kawahigashi, Sebastiano Carpi, Feng Xu, Robin Hillier, Roberto Longo

Publication date: 14 April 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2398

zbMATH Keywords

von Neumann algebranoncommutative geometrysuperconformal field theorylocal conformal netsoperator algebraic approachsuper-Virasoro netssuperymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Topological field theories in quantum mechanics (81T45)

Related Items

Galois correspondence and Fourier analysis on local discrete subfactors ⋮ \(N=2\) minimal conformal field theories and matrix bifactorisations of \(x^d\) ⋮ Geometric realization of algebraic conformal field theories ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Energy bounds for vertex operator algebra extensions ⋮ Loop groups and noncommutative geometry ⋮ Super-KMS functionals for graded-local conformal nets ⋮ Solitons and nonsmooth diffeomorphisms in conformal nets ⋮ Local energy bounds and strong locality in chiral CFT ⋮ Supergeometry in locally covariant quantum field theory

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