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On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

Abstract

The classification of twisted modules for N = 2 supersymmetric vertex operator superalgebras with twisting given by vertex operator superalgebra automorphisms which are lifts of a finite automorphism of the N = 2 Neveu–Schwarz Lie superalgebra representation is presented. These twisted modules include the Ramond-twisted sectors and mirror-twisted sectors for N = 2 vertex operator super algebras, as well as twisted modules related to more general “spectral flow” representations of the N = 2 Neveu–Schwarz algebra.

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Acknowledgements

The author gratefully thanks the NSA for the grant MSPF-07G-169 that partially supported this work. In addition, the author thanks the Max Planck Institute for Mathematics in Bonn, Germany for a research grant that also partially supported this work, and thanks them for their hospitality during the 2010–2011 academic year.

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Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Katrina Barron

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  1. Katrina Barron
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Correspondence to Katrina Barron .

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  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Barron, K. (2013). On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_29

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