<p>In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu–Schwarz and Ramond sectors of the <i>big N</i> = 4 superconformal algebra which can be found in [11]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal <i>W</i>-algebras attached to basic Lie superalgebras formulated in [15], [17], and complete their proof for the <i>big N</i> = 4 superconformal algebra.</p>

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Extremal unitary representations of big N = 4 superconformal algebra

  • Victor G. Kac,
  • Pierluigi Möseneder Frajria,
  • Paolo Papi

摘要

In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu–Schwarz and Ramond sectors of the big N = 4 superconformal algebra which can be found in [11]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal W-algebras attached to basic Lie superalgebras formulated in [15], [17], and complete their proof for the big N = 4 superconformal algebra.