The Shatashvili-Vafa \(G_2\) superconformal algebra as a quantum Hamiltonian reduction of \(D(2,1;\alpha)\)

DOI10.1007/s00574-015-0094-xzbMath1360.17031arXiv1406.4808OpenAlexW2198177408MaRDI QIDQ889886

Reimundo Heluani, Lázaro O. Rodríguez Díaz

Publication date: 9 November 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4808

zbMATH Keywords

\(W\)-algebrasquantum Hamiltonian reductionfree field realizationShatashvili-Vafa \(G_2\) superconformal algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (3)

Screening operators for \(\mathcal {W}\)-algebras ⋮ Recent advances and open questions on the susy structure of the chiral de Rham complex ⋮ \(G_2\) holonomy manifolds are superconformal

Uses Software

• Mathematica

Cites Work

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• Lie superalgebras
• The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\)

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