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SU(3) gauge theory with dynamical overlap fermions in the 2-index symmetric(sextet) representation is considered. This model may be a viable model of theelectroweak symmetry breaking sector along the lines of the walking technicolorparadigm. The number of fermion species is chosen such that the theory isexpected to be below the conformal window. We will discuss how theepsilon-regime and random matrix theory can be used to test whether at anygiven set of parameters (N_c, N_f, representation) the theory is in theconformal phase or indeed just below it. Quenched Monte Carlo results areincluded in the fundamental representation and also preliminary dynamical onesin the 2-index symmetric representation.

Nearly conformal electroweak sector with chiral fermions