Theoretical and Mathematical Physics

, Volume 121, Issue 2, pp 1462–1472 | Cite as

Free-field resolutions of unitary representations of theN=2 virasoro algebra: II. The butterfly resolution

  • A. M. Semikhatov
  • B. L. Feigin


For unitary representations of the N=2 superconformal algebra, we construct a new type of resolution realized in a free-field space with two fermionic screening operators.


Unitary Representation Singular Vector Free Field Verma Module Superconformal Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. M. Semikhatov,Theor. Math. Phys. 121, 1333 (1999).zbMATHMathSciNetGoogle Scholar
  2. 2.
    G. Felder,Nucl. Phys. B,317, 215 (1989);324, 548 (1989).CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    D. Bernard and G. Felder,Commun. Math. Phys.,127, 145 (1990).zbMATHCrossRefADSMathSciNetGoogle Scholar
  4. 4.
    B. L. Feigin and E. V. Frenkel, “Representations of affine Kac-Moody algebras and bosonization”, in:Physics and Mathematics of Strings (L. Brink, D. Friedan, and A. M. Polyakov, eds.) World Scientific, Singapore (1993):Commun. Math. Phys.,128, 161 (1990).Google Scholar
  5. 5.
    P. Bouwknegt, J. McCarthy, and K. Pilch,Commun. Math. Phys.,131, 125 (1990).zbMATHCrossRefADSMathSciNetGoogle Scholar
  6. 6.
    G. Mussardo, G. Sotkov, and M. Stanishkov,Int. J. Mod. Phys. A,4, 1135 (1989).CrossRefADSMathSciNetGoogle Scholar
  7. 7.
    N. Ohta and H. Suzuki,Nucl. Phys. B,332, 146 (1990).CrossRefADSMathSciNetGoogle Scholar
  8. 8.
    K. Ito,Phys. Lett. B,259, 73 (1991);Nucl. Phys. B,370, 123 (1992).CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    B. L. Feigin, A. M. Semikhatov, V. A. Sirota, and I. Yu. Tipunin,Nucl. Phys. B 536 617 (1999) Preprint hep-th/9805179 (1998).zbMATHCrossRefADSMathSciNetGoogle Scholar
  10. 10.
    D. H. Friedan, E. J. Martinec, and S. H. Shenker,Nucl. Phys. B 271, 93 (1986).ADSMathSciNetGoogle Scholar
  11. 11.
    B. L. Feigin, A. M. Semikhatov, and I. Yu. Tipunin, “A semi-infinite realization of unitary representations of theN=2 superconformal algebra”, (in progress).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. M. Semikhatov
    • 1
  • B. L. Feigin
    • 2
  1. 1.Tamm Department of Theoretical Physics, Lebedev Physical InstituteRASMoscowRussia
  2. 2.Landau Institute for Theoretical PhysicsRASMoscow OblastRussia

Personalised recommendations