χSB of cascading gauge theory in de Sitter

N = 1 supersymmetric SU(N) x SU(N + M) cascading gauge theory of Klebanov et al. [1, 2] spontaneously breaks chiral symmetry in Minkowski space-time. We demonstrate that in de Sitter space-time the chiral symmetry breaking occurs for the values of the Hubble constant H<similar to 0.7?,0.7\Lambda, $$\end{document} as well as in the narrow window 0.92(1)? <= H <= 0.92(5)?. We give a precise definition of the strong coupling scale A of the cascading gauge theory, which is related to the glueball mass scale in the theory m(glueball) and the asymptotic string coupling g(s) as ?similar to gs1/2{1/2} $$\end{document}m(gluebal.l)