Classification of the local extensions of the SU(2)×SU(2) chiral current algebras

DOI10.1063/1.531101zbMath0833.17028OpenAlexW1983507393MaRDI QIDQ4836959

Yassen S. Stanev

Publication date: 12 March 1996

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

Full work available at URL: https://doi.org/10.1063/1.531101

zbMATH Keywords

polynomial solutionsKac-Moody algebraKnizhnik-Zamolodchikov equationsconformal embeddingsconformal current algebrachiral algebra of observables

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (2)

Rational conformal field theory extensions of W1+∞ in terms of bilocal fields ⋮ Novel construction of boundary states in coset conformal field theories

Cites Work

• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Current algebras and Wess-Zumino model in two dimensions
• D-E classification of the local extensions of \(SU_ 2\) current algebras
• The rank-four heterotic modular invariant partition functions.
• SIMPLE CURRENTS, MODULAR INVARIANTS AND FIXED POINTS
• NEW EXCEPTIONAL $(A_1^{(1)})^{\oplus r} $ INVARIANTS AND THE ASSOCIATED GEPNER MODELS
• Level one Kac-Moody characters and modular invariance

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