From LG to a butterfly resolution of unitary N=2 representations

  • Alexei Semikhatov
Supersymmetric Quantum Mechanics And Integrable Systems
Part of the Lecture Notes in Physics book series (LNP, volume 524)


I review free-field resolutions of unitary representations of the N=2 superconformal algebra. The one-screening resolution is related to the representation theory picture of “gravitational descendants.” The realization with two fermionic screenings gives rise to a “butterfly” resolution.


Unitary Representation Singular Vector Verma Module Superconformal Algebra Screening Operator 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Alexei Semikhatov
    • 1
  1. 1.Tamm Theory Division, Lebedev Physics InstituteRussian Academy of SciencesUSSR

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