scientific article; zbMATH DE number 945333

zbMath0860.17042arXivhep-th/9509119MaRDI QIDQ4715435

Peter Bouwknegt, Krzysztof Pilch, J. G. McCarthy

Publication date: 14 November 1996

Full work available at URL: https://arxiv.org/abs/hep-th/9509119

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zbMATH Keywords

representationsVirasoro algebrasemi-infinite cohomologyBatalin-Vilkovisky algebras\(W\) algebras\(W_ 3\) algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02)

Related Items (20)

Ward identities in the \(\mathfrak{sl}_3\) Toda conformal field theory ⋮ Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology ⋮ Representation theory of \(\mathcal{W}\)-algebras ⋮ Multilocal bosonization ⋮ On the elliptic genera of manifolds of Spin(7) holonomy ⋮ Parafermionic theory with the symmetry \(\mathbb Z_N\), for \(N\) odd ⋮ Unitary representations of the \(\mathcal{W}_3\)-algebra with \(c \geq 2\) ⋮ \(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model ⋮ Staggered and affine Kac modules over \(A_1^{(1)}\) ⋮ Singular vectors for the WN algebras ⋮ From Poisson algebras to Gerstenhaber algebras ⋮ BV-GENERATORS AND LIE ALGEBROIDS ⋮ Torus structure on graphs and twisted partition functions for minimal and affine models ⋮ Quantum group as semi-infinite cohomology ⋮ Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory ⋮ Galilean W3 algebra ⋮ Invariant chiral differential operators and the \(\mathcal W_3\) algebra ⋮ Higher-rank isomonodromic deformations and \(W\)-algebras ⋮ Ward identities and anomalies in pure \(W_4\) gravity ⋮ Groundstate finite-size corrections and dilogarithm identities for the twisted A1(1) , A2(1) and A2(2) models

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