Modular Invariants for Theta-Functions with Characteristics and the Twisted N = 2 Superconformal and SU(2) Kac-Moody Algebras

Authors

  • Dr. V. K. Dobrev,

    Corresponding author
    1. International Centre for Theoretical Physics, Trieste, Italy
    • Institute of Nuclear Research and Nuclear Energy Bulgarian Academy of Sciences 72 Boul. Lenin 1784 Sofia, Bulgaria
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  • Dr. A. H. Ganchev

    Corresponding author
    1. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria
    • Institute of Nuclear Research and Nuclear Energy Bulgarian Academy of Sciences 72 Boul. Lenin 1784 Sofia, Bulgaria
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  • A Special Issue in Honour of Professor Armin Uhlmann on the Occasion of his 60th Birthday

Abstract

We classify the modular invariants for θ-functions with characteristics relevant for the twisted n = 2 super-Virasoro and the twisted su(2) Kac-Moody algebras. Detailed and complete proofs are given. Based on this we give the classification of the modular invariants for the above algebras.

Abstract

Modulare Invarianten für Theta-Funktionen mit Charakteristiken und die getwisteten N = 2 Superkonformen und SU(2) Kac-Moody Algebren

Wir klassifizieren die modularen Invarianten für Θ-Funktionen mit Charakteristiken, die für die getwisteten n = 2 Super-Virasoro und die getwisteten su(2) Kac-Moody Algebren relevant sind. Detaillierte und vollständige Beweise werden gegeben. Darauf basierend klassifizieren wir die modularen Invarianten obiger Algebren.

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