Current algebra in three dimensions

DOI10.1103/PhysRevLett.69.2033zbMath0968.81522arXivhep-th/9207039WikidataQ74517514 ScholiaQ74517514MaRDI QIDQ4492014

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Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9207039

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (8)

Ferretti-Rajeev term and homotopy theory ⋮ On the \(N = 2\) supersymmetric \(\mathbb{C}\mathbb{P}(\mathbb{N}) \sigma\) model and Chern-Simons terms ⋮ ENTROPY OF OPERATOR-VALUED RANDOM VARIABLES: A VARIATIONAL PRINCIPLE FOR LARGE N MATRIX MODELS ⋮ Generalizations of the Wess–Zumino–Witten model and Ferretti–Rajeev model to any dimensions: CP-invariance and geometry ⋮ Superfield formalism for the one loop effective action and \(CP(N)\) model in three dimensions ⋮ Higher-dimensional loop algebras, non-abelian extensions and \(p\)-branes ⋮ \(\text{O}(N)\) sigma model as a three-dimensional conformal field theory. ⋮ Random Matrix Theory and Three-Dimensional QCD

Cites Work

• Chiral anomalies in even and odd dimensions
• Non-Abelian bosonization in two dimensions
• Deformation of current algebras in \(3+1\) dimensions
• Current algebras in \(d+1\)-dimensions and determinant bundles over infinite-dimensional Grassmannians
• Quantum field theory and the Jones polynomial
• Unnamed Item
• Unnamed Item

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