New $AdS_4\times X_7$ Geometries with $\CN=6$ in M Theory

Details New $AdS_4\times X_7$ Geometries with $\CN=6$ in M Theory New $AdS_4\times X_7$ Geometries with $\CN=6$ in M Theory

2006-05-22

arxiv.org/abs/hep-th/0605214v2

JHEP 0703:012,2007

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, Jhep format, A clarification of credit for mathematicians added

Scientific paper

10.1088/1126-6708/2007/03/012

We study supersymmetric AdS_4 x X_7 solutions of 11-dim supergravity where the tri-Sasakian space X_7 has generically U(1)^2\times SU(2)_R isometry. The compact and regular 7-dim spaces X_7=S(t_1,t_2,t_3) is originated from 8-dim hyperkahler quotient of a 12-dim flat hyperkahler space by U(1) and belongs to the class of the Eschenburg space. We calculate the volume of X_7 and that of the supersymmetric five cycle via localization. From this we discuss the 3-dim dual superconformal field theories with \CN=3 supersymmetry.

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