Representations of infinite-dimensional algebras and conformal field theory: From \(N=2\) to \(\widehat{sl} (2|1)\)
DOI10.1007/BF02634156zbMath0978.17501OpenAlexW1976702819MaRDI QIDQ1294899
Publication date: 5 February 2002
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02634156
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) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Cites Work
- Unnamed Item
- Singular vectors and topological theories from Virasoro constraints via the Kontsevich-Miwa transform
- Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
- Infinite conformal symmetry in two-dimensional quantum field theory
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- Hidden fermionic symmetry in conformal topological field theories
- The structure of Verma modules over the \(N=2\) superconformal algebra
- Representation theory of the affine Lie superalgebra \(\widehat {sl}(2/1;C)\) at fractional level
- Covariant differential equations and singular vectors in Virasoro representations
- Fusion and singular vectors in \(A_ 1^{(1)}\) highest weight cyclic modules
- Singular vectors in Verma modules over Kac-Moody algebras
- Null vectors, 3-point and 4-point functions in conformal field theory
- Functional models of the representations of current algebras and semi-infinite Schubert cells
- New principles for string/membrane unification
- The non-critical \(N=2\) string is an \(sl(2|{}1)\) theory
- Analytic expression for singular vectors of the \(N=2\) superconformal algebra
- Extended \(N=2\) superconformal structure of gravity and \(W\)-gravity coupled to matter
- Null vectors of the superconformal algebra: the Ramond sector.
- FUSION RULES FOR THE FRACTIONAL LEVEL $\widehat{{\rm sl}(2)}$ ALGEBRA
- SINGULAR VECTORS OF THE TOPOLOGICAL CONFORMAL ALGEBRA
- HAMILTONIAN REDUCTION AND TOPOLOGICAL CONFORMAL ALGEBRA IN c<1 NON-CRITICAL STRINGS
- THE MFF SINGULAR VECTORS IN TOPOLOGICAL CONFORMAL THEORIES
- Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
This page was built for publication: Representations of infinite-dimensional algebras and conformal field theory: From \(N=2\) to \(\widehat{sl} (2|1)\)
