Lie superalgebras and irreducibility of \(A_1^{(1)}\)-modules at the critical level
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Publication:883036
DOI10.1007/s00220-006-0153-7zbMath1118.17006arXivmath/0602181OpenAlexW3100046918MaRDI QIDQ883036
Publication date: 31 May 2007
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0602181
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie (super)algebras to physics, etc. (17B81)
Related Items
A realisation of the Bershadsky-Polyakov algebras and their relaxed modules ⋮ A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\) ⋮ Relaxed highest-weight modules. I: Rank 1 cases ⋮ Bershadsky-Polyakov vertex algebras at positive integer levels and duality ⋮ Whittaker modules for the affine Lie algebra \(A_1^{(1)}\) ⋮ Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results ⋮ On principal realization of modules for the affine Lie algebra 𝐴₁⁽¹⁾ at the critical level ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ REALIZATION OF ${\widehat{\mathfrak{sl}}_2({\mathbb C})}$ AT THE CRITICAL LEVEL ⋮ On fusion rules and intertwining operators for the Weyl vertex algebra ⋮ Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras
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