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On Extensions of Affine Vertex Algebras at Half-Integer Levels

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Perspectives in Lie Theory

Part of the book series: Springer INdAM Series ((SINDAMS,volume 19))

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Abstract

We construct certain new extensions of vertex operator algebras by its simple module. We show that extensions of certain affine vertex operator algebras at admissible half-integer levels have the structure of simple vertex operator algebras. We also discuss some methods for determination of simple current modules for affine vertex algebras.

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Acknowledgements

D.A. and O.P. are partially supported by the Croatian Science Foundation under the project 2634.

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Authors and Affiliations

  1. Department of Mathematics, University of Zagreb, Bijenicka 30, 10000, Zagreb, Croatia

    Dražen Adamović & Ozren Perše

Authors
  1. Dražen Adamović
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  2. Ozren Perše
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Corresponding author

Correspondence to Dražen Adamović .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Filippo Callegaro

  2. Dipartimento di Matematica, University of Padova, Padova, Italy

    Giovanna Carnovale

  3. Dipartimento di Matematica, University of Bologna, Bologna, Italy

    Fabrizio Caselli

  4. Dipartimento di Matematica, Sapienza University of Rome, Roma, Italy

    Corrado De Concini

  5. Dipartimento di Matematica, Sapienza University of Rome, Roma, Italy

    Alberto De Sole

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Adamović, D., Perše, O. (2017). On Extensions of Affine Vertex Algebras at Half-Integer Levels. In: Callegaro, F., Carnovale, G., Caselli, F., De Concini, C., De Sole, A. (eds) Perspectives in Lie Theory. Springer INdAM Series, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-319-58971-8_7

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