Non-Supersymmetric CS-Matter Theories with Known AdS Duals

Abstract EN

We consider three-dimensional conformal field theories living on a stack of N anti-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 large N limit, is a peculiarity of the AdS4/CFT3 correspondence with respect to the usual AdS5/CFT4, and it is worthwhile to study it.

We analyze in detail the KK spectrum of the skew-whiffed solution associated with S7/ℤk and we speculate on the natural field content for a candidate non-supersymmetric dual field theory.