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We study supersymmetric AdS_4 x X_7 solutions of 11-dim supergravity wherethe tri-Sasakian space X_7 has generically U(1)^2\times SU(2)_R isometry. Thecompact and regular 7-dim spaces X_7=S(t_1,t_2,t_3) is originated from 8-dimhyperkahler quotient of a 12-dim flat hyperkahler space by U(1) and belongs tothe class of the Eschenburg space. We calculate the volume of X_7 and that ofthe supersymmetric five cycle via localization. From this we discuss the 3-dimdual superconformal field theories with \CN=3 supersymmetry.Comment: 27 pages, Jhep format, A clarification of credit for mathematicians  adde

NewAdS4×X7geometries with Script N = 6 in M theory

NewAdS₄×X₇geometries with Script N = 6 in M theory