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Superconformal Vertex Algebras and Jacobi Forms

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Perspectives in Lie Theory

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

Abstract

We discuss the appearance of Jacobi automorphic forms in the theory of superconformal vertex algebras, explaining it by way of supercurves and formal geometry. We touch on some related topics such as Ramanujan’s differential equations for Eisenstein series.

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Acknowledgements

I would like to thank the organisers of the 2014 intensive period ‘Perspectives in Lie Theory’ at CRM Ennio De Giorgi, where this work was presented, and CAPES-Brazil for financial support.

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Authors and Affiliations

  1. IMPA, Rio de Janeiro, RJ, 22460-320, Brazil

    Jethro van Ekeren

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  1. Jethro van Ekeren
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Correspondence to Jethro van Ekeren .

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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van Ekeren, J. (2017). Superconformal Vertex Algebras and Jacobi Forms. 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_9

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