A result on certain coset subalgebras of the <EM>βγ</EM>-system

CHU Yan-Jun; HUANG Fang; ZHENG Zhu-Jun

doi:10.1088/1674-1137/35/2/008

Chinese Physics C> 2011, Vol. 35> Issue(2) : 149-152 DOI: 10.1088/1674-1137/35/2/008

A result on certain coset subalgebras of the βγ-system

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Abstract：
In this paper, for the highest weight module V₄ of sl(2,C) with the highest weight 4, we describe subalgebras S_β(V₄)^θ+ and S_γ(V₄)^θ+ of the βγ-system coset S(V₄)^θ+ by giving their generators. These coset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.

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[1]

Goddard P, Kent A, Olive D. Phys. Lett. B, 1985, 152: 88-932 Kac V C, Wakimoto M. Acta Appl. Math., 1990, 21: 33 Dundar D, Joshi K G. Int. J. Mod. Phys. A, 1993, 8: 41034 Dundar D, Joshi K G. Int. J. Mod. Phys. A, 1993, 8: 28035 Gannon T, Walton M. Commun. Math. Phys., 1995, 173: 1756 Zamolodchikov A B, Fateev V A. Sov. Phys., 1985, JETP, 62: 2157 Gepner D. Nucl. Phys. B, 1987, 290: 108 Kent A, PhD thesis. Department of Applied Mathematics and Theorical Physics. Cambridge University, 19869 Mathieu P, Walton M. Prog. Theor. Phys. Supp., 1990, 102: 22910 Mathieu P, Senechal D, Walton M. Int. J. Mod A7 Suppl., 1992, 1B: 73111 Altschuler D. Nucl. Phys. B, 1989, 313: 29312 Halpern M B, Kiritsis E B, Obers N A et al. Phys. Rep., 1993, 265: 1-13813 Friendan D, Martinec E, Shenker S. Nucl. Phys. B, 1986, 271: 93-16514 Lian B, Linshaw A R. J. Algebra., 2007, 317: 111-15215 Frenkel I, ZHU Yong-Chang. Duke Math. J., 1992, 66: 123-16816 Linshaw A R. PHD Thesis. Brandies University, 200517 Linshaw A R. J. Pure Appl. Algebra, 2009, 213: 632-64818 Linshaw A R, SONG Bai-Lin. Preprint, arXiv: 0807.4764 [math.RT]19 Lian B, Zuckerman G J. J. Pure Appl. Algebra, 1995, 100(1-3): 117-13920 Kac V C. Vertex Algebras for Beginners. University Lecture Series, Vol.10, Amer. Math. Soc., 199721 Mukai S. An Introduction to Invariants and Moduli. Carm-bridge: Carmbridge University Press. Carmbridge Studies in Advanced Mathematics 81, 2003

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CHU Yan-Jun, HUANG Fang and ZHENG Zhu-Jun. A result on certain coset subalgebras of the βγ-system[J]. Chinese Physics C, 2011, 35(2): 149-152. doi: 10.1088/1674-1137/35/2/008

CHU Yan-Jun, HUANG Fang and ZHENG Zhu-Jun. A result on certain coset subalgebras of the βγ-system[J]. Chinese Physics C, 2011, 35(2): 149-152. doi: 10.1088/1674-1137/35/2/008 shu

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Received: 2010-03-10
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沈阳化工大学材料科学与工程学院沈阳 110142

A result on certain coset subalgebras of the βγ-system

Received Date: 2010-03-10

Accepted Date: 2010-03-12

Available Online: 2011-02-05

Abstract: In this paper, for the highest weight module V₄ of sl(2,C) with the highest weight 4, we describe subalgebras S_β(V₄)^θ+ and S_γ(V₄)^θ+ of the βγ-system coset S(V₄)^θ+ by giving their generators. These coset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.

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A result on certain coset subalgebras of the βγ-system

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