χSB of cascading gauge theory in de Sitter.

N = 1 supersymmetric SU(N) × 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 < ~ 0.7 Λ , as well as in the narrow window 0.92(1)Λ ≤ H ≤ 0.92(5)Λ. 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 Λ ~ g s 1 / 2 m_gluebal.l [ABSTRACT FROM AUTHOR]