Connes fusion of spinors on loop space

DOI10.1112/S0010437X24007188MaRDI QIDQ6615207

Konrad Waldorf, Peter Kristel

Publication date: 8 October 2024

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

Fock spaceloop spacestring structureloop fusionConnes fusionClifford-von Neumann algebrastringor bundle

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Spin and Spin({}^c) geometry (53C27) Linear operators in (C^*)- or von Neumann algebras (47C15) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
• Spin structures on loop spaces that characterize string manifolds
• Four equivalent versions of nonabelian gerbes
• Lifting problems and transgression for non-abelian gerbes
• String geometry vs. spin geometry on loop spaces
• Central extensions of smooth 2-groups and a finite-dimensional string 2-group
• Topological quantum field theories
• On differentiable vectors for representations of infinite dimensional Lie groups
• Orientation and string structures on loop space
• Semibounded representations and invariant cones in infinite dimensional Lie algebras
• Multiplicative bundle gerbes with connection
• AQFT from \(n\)-functorial QFT
• Unitary representations of some infinite dimensional groups
• Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
• Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles
• \(S^ 1\)-actions and elliptic genera
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• The basic gerbe over a compact simple Lie group
• Fusion of implementers for spinors on the circle
• A framework for geometric field theories and their classification in dimension one
• Dualizability and index of subfactors
• Transgressive loop group extensions
• From loop groups to 2-groups
• Twistor spaces and spinors over loop spaces
• String connections and Chern-Simons theory
• Diffeology
• Convenient categories of smooth spaces
• 2-Dimensional Categories
• The Classifying Space of a Topological 2-Group
• The standard form of von Neumann algebras.
• A bicategorical approach to Morita equivalence for von Neumann algebras
• Infinite Dimensional Groups and Algebras in Quantum Physics
• A construction of string 2-group models using a transgression-regression technique
• Bundle Gerbes
• Loop spaces, characteristic classes and geometric quantization

This page was built for publication: Connes fusion of spinors on loop space

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6615207)