Geodesic
Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 2, pp. 244-257 
A. M. Semikhatov; B. L. Feigin. Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 2, pp. 244-257. http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a1/
@article{TMF_1999_121_2_a1,
     author = {A. M. Semikhatov and B. L. Feigin},
     title = {Free-field resolutions of unitary representations of the $N=2$ {Virasoro} algebra: {II.~The} butterfly resolution},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {244--257},
     year = {1999},
     volume = {121},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a1/}
}
TY  - JOUR
AU  - A. M. Semikhatov
AU  - B. L. Feigin
TI  - Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 244
EP  - 257
VL  - 121
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a1/
LA  - ru
ID  - TMF_1999_121_2_a1
ER  - 
%0 Journal Article
%A A. M. Semikhatov
%A B. L. Feigin
%T Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 244-257
%V 121
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1999_121_2_a1/
%G ru
%F TMF_1999_121_2_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] A. M. Semikhatov, TMF, 121:1 (1999), 89 | DOI | MR | Zbl

[2] G. Felder, Nucl. Phys. B, 317 (1989), 215 | DOI | MR

[3] D. Bernard, G. Felder, Commun. Math. Phys., 127 (1990), 145 | DOI | MR | Zbl

[4] B. L. Feigin, E. V. Frenkel, “Representations of Affine Kac–Moody Algebras and Bosonization”, Physics and Mathematics of Strings, Memorial Volume for Vadim Knizhnik, eds. L. Brink, D. Friedan, A. M. Polyakov, World Sci., Singapore, 1993 ; B. L. Feigin, E. V. Frenkel, Commun. Math. Phys., 128 (1990), 161 | MR | DOI | MR | Zbl

[5] P. Bouwknegt, J. McCarthy, K. Pilch, Commun. Math. Phys., 131 (1990), 125 | DOI | MR | Zbl

[6] G. Mussardo, G. Sotkov, M. Stanishkov, Int. J. Mod. Phys. A, 4 (1989), 1135 | DOI | MR

[7] N. Ohta, H. Suzuki, Nucl. Phys. B, 332 (1990), 146 | DOI | MR

[8] K. Ito, Phys. Lett. B, 259 (1991), 73 ; Nucl. Phys. B, 370 (1992), 123 | DOI | MR | DOI | MR

[9] B. L. Feigin, A. M. Semikhatov, V. A. Sirota, I. Yu. Tipunin, Nucl. Phys. B, 536 (1999), 617 ; E-print hep-th/9805179 | DOI | MR | Zbl

[10] D. H. Friedan, E. J. Martinec, S. H. Shenker, Nucl. Phys. B, 271 (1986), 93 | DOI | MR

[11] B. L. Feigin, A. M. Semikhatov, I. Yu. Tipunin, A Semi-Infinite Realization of Unitary Representations of the $N=2$ Superconformal Algebra, v rabote