Non-Supersymmetric CS-Matter Theories with Known AdS Duals

Abstract

We consider three-dimensional conformal field theories living on a stack ofNanti-M2 branes at the tip of eight-dimensional supersymmetric cones. The corresponding supergravity solution is obtained by changing sign to the four-form in the Freund-Rubin solution representing M2 branes (“skew-whiffing” transformation) and it is known to be stable. The existence of these non-supersymmetric, stable field theories, at least in the largeNlimit, is a peculiarity of theAdS4/CFT3correspondence with respect to the usualAdS5/CFT4, and it is worthwhile to study it. We analyze in detail the KK spectrum of the skew-whiffed solution associated withS7/ℤkand we speculate on the natural field content for a candidate non-supersymmetric dual field theory.