$N=1$ supersymmetric conformal block recursion relations
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 476-487
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We present explicit recursion relations for the four-point superconformal
block functions that are essentially particular contributions of the given
conformal class to the four-point correlation function. The approach is based
on the analytic properties of the superconformal blocks as functions of
the conformal dimensions and the central charge of the superconformal algebra. We
compare the results with the explicit analytic expressions obtained for
special parameter values corresponding to the truncated operator product
expansion. These recursion relations are an efficient tool for numerically
studying the four-point correlation function in superconformal field theory
in the framework of the bootstrap approach, similar to that in the case of
the purely conformal symmetry.
Keywords:
$N{=}1$ superconformal field theory, four-point conformal block function, recursion relation.
@article{TMF_2007_152_3_a5,
author = {V. A. Belavin},
title = {$N=1$ supersymmetric conformal block recursion relations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {476--487},
publisher = {mathdoc},
volume = {152},
number = {3},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a5/}
}
V. A. Belavin. $N=1$ supersymmetric conformal block recursion relations. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 476-487. http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a5/