Abstract
mathcal{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 Hunderset{sim }{<}0.7Lambda, 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 mglueball and the asymptotic string coupling gs as Lambda sim {g}_s^{1/2} mgluebal.l
Highlights
Introduction and summaryConsider N = 1 supersymmetric SU(N + M ) × SU(N ) gauge theory with two chiral superfields A1, A2 in the (N + M, N ) representation, and two chiral superfields B1, B2 in the (N + M, N ) representation, in four dimensional Minkowski space-time R3,1
In this paper we presented a comprehensive analysis of the vacua structure of the cascading gauge theory in de Sitter
The cascading gauge theory in Minkowski space-time is characterized by a single modulus gs and the strong coupling scale Λ; it confines with the spontaneous breaking of the chiral symmetry. de Sitter space-time presents a new mass scale — the Hubble constant H
Summary
Since both TypeAs and TypeAb vacua cease to exist below certain value of the Hubble constant, for H Hms in, and HmBax > Hms in, TypeB vacua become late-time attractors of the dynamical evolution of the cascading gauge theory in de Sitter for H Hms in.
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