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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 040, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.040
(Mi sigma717)
 

This article is cited in 8 scientific papers (total in 8 papers)

The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$

Dražen Adamović, Ozren Perše

Faculty of Science, Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
Full-text PDF (458 kB) Citations (8)
References:
Abstract: We give a coset realization of the vertex operator algebra $M(1)^+$ with central charge $\ell$. We realize $M(1)^+$ as a commutant of certain affine vertex algebras of level $-1$ in the vertex algebra $L_{C_{\ell}^{(1)}}(-\frac12\Lambda_0)\otimes L_{C_{\ell} ^{(1)}}(-\frac{1}{2}\Lambda_0)$. We show that the simple vertex algebra $L_{C_{\ell}^{(1)}}(-\Lambda_0)$ can be (conformally) embedded into $L_{A_{2 \ell -1}^{(1)}}(-\Lambda_0)$ and find the corresponding decomposition. We also study certain coset subalgebras inside $L_{C_{\ell} ^{(1)}}(-\Lambda_0)$.
Keywords: vertex operator algebra, affine Kac–Moody algebra, coset vertex algebra, conformal embedding, $\mathcal W$-algebra.
Received: March 9, 2012; in final form July 1, 2012; Published online July 8, 2012
Bibliographic databases:
Document Type: Article
Language: English
Citation: Dražen Adamović, Ozren Perše, “The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$”, SIGMA, 8 (2012), 040, 16 pp.
Citation in format AMSBIB
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\paper The vertex algebra $m(1)^+$ and certain affine vertex algebras of level $-1$
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\papernumber 040
\totalpages 16
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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