BRST cohomology and highest weight vectors. I

DOI10.1007/BF02104121zbMath0719.17015MaRDI QIDQ2639946

Bong H. Lian, Gregg J. Zuckerman

Publication date: 1991

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

zbMATH Keywords

semi-infinite cohomologyBRST-cohomologybosonic string modelnon-compact coset conformal field theoryrank one non-compact coset model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Cohomology of Lie (super)algebras (17B56)

Related Items

Natural construction of ten Borcherds-Kac-Moody algebras associated with elements in \(M_{23}\), BRST analysis of physical states for 2D gravity coupled to \(c\leqq{}1\) matter, Semi-infinite homology and 2D gravity. I, The BRST formulation of \(G/H\) WZNW models, On BRST cohomology of \(\mathrm{SL}(2,\mathbb R)_{p/q-2}/\mathrm{SL}(2,\mathbb R)_{p/q-2}\) gauged WZNW models, Note on spin modules associated to Z-graded Lie superalgebras, New discrete states of strings near a black hole, New selection rules and physical states in 2D gravity. Conformal gauge, 2D gravity with \(c=1\) matter, Semi-infinite Weil complex and the Virasoro algebra, Semi-infinite homological algebra, SEMI-INFINITE FORMS AND TOPOLOGICAL VERTEX OPERATOR ALGEBRAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hidden SL(n) symmetry in conformal field theories
• BRST cohomology of the super-Virasoro algebras
• On the unitarizability of derived functor modules
• Derivations and central extensions of finitely generated graded Lie algebras
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Cohomology of Lie superalgebras
• The semi-infinite homology of Kac-Moody and Virasoro Lie algebras
• Semi-infinite cohomology and string theory