Two-dimensional conformal field theories with matrix-valued level

DOI10.1063/1.4971194zbMath1353.81107arXiv1509.05921OpenAlexW2215377917MaRDI QIDQ2951758

Ali Nassar

Publication date: 9 January 2017

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

Full work available at URL: https://arxiv.org/abs/1509.05921

zbMATH Keywords

Sugawara constructionextended Wess-Zumino-Witten models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Structure of modular groups and generalizations; arithmetic groups (11F06)

Cites Work

• Conformal field theory
• \(U(1)^m\) modular invariants, \(N=2\) minimal models, and the quantum Hall effect
• Non-Abelian bosonization in two dimensions
• Infinite conformal symmetry in two-dimensional quantum field theory
• String Theory
• Towards a classification of su(2)⊕...⊕su(2) modular invariant partition functions
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