Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra:~I
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 89-109
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We construct a free-field resolution of unitary representations of the $N=2$ superconformal algebra. The resolution is degenerated by the action of one fermionic screening operator (which generates the “gravitational descendants” in the field theory picture). The irreducible representation is singled out from the free-field space as the cohomology of this screening operator.
@article{TMF_1999_121_1_a5,
author = {A. M. Semikhatov},
title = {Free-field resolutions of unitary representations of the $N=2$ {Virasoro} {algebra:~I}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {89--109},
publisher = {mathdoc},
volume = {121},
number = {1},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a5/}
}
TY - JOUR AU - A. M. Semikhatov TI - Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra:~I JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 89 EP - 109 VL - 121 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a5/ LA - ru ID - TMF_1999_121_1_a5 ER -
A. M. Semikhatov. Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra:~I. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 89-109. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a5/