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Advances in High Energy Physics
Volume 2011, Article ID 393645, 15 pages
http://dx.doi.org/10.1155/2011/393645
Research Article

Non-Supersymmetric CS-Matter Theories with Known AdS Duals

1Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles, C.P. 231, 1050 Bruxelles, Belgium
2Dipartimento di Fisica, Università di Milano-Bicocca, 20126 Milano, Italy
3INFN, Sezione di Milano-Bicocca, 20126 Milano, Italy

Received 15 March 2011; Accepted 16 July 2011

Academic Editor: Amihay Hanany

Copyright © 2011 Davide Forcella and Alberto Zaffaroni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 A d S 4 / C F T 3 correspondence with respect to the usual A d S 5 / C F T 4 , and it is worthwhile to study it. We analyze in detail the KK spectrum of the skew-whiffed solution associated with 𝑆 7 / 𝑘 and we speculate on the natural field content for a candidate non-supersymmetric dual field theory.