Sugawara-type constructions of the Virasoro algebra based on the twisted affine Kac–Moody superalgebras

DOI10.1063/1.529309zbMath0748.17026OpenAlexW2077862538MaRDI QIDQ3981674

Ioannis Tsohantjis, J. F. Cornwell

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529309

zbMATH Keywords

Virasoro algebraSugawara constructionhighest-weight representationsNeveu-Schwarz type superalgebrastwisted affine Kac-Moody superalgebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) 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) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

Cites Work

• Affine superalgebras, unitary representations and the Sugawara construction
• Unitary representations of the Virasoro and super-Virasoro algebras
• Superconformal current algebras and their unitary representations
• Level one representations of the simple affine Kac-Moody algebras in their homogeneous gradations
• Kac-Moody algebras, conformal symmetry and critical exponents
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• The complete root systems of the affine Kac–Moody superalgebras
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• Euclidean Lie Algebras
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

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