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Abstract: We use group theoretic methods to calculate the spectrum of short multipletsaround the extremum of N=8 gauged supergravity potential which possesses N=2supersymmetry and SU3 global symmetry. Upon uplifting to M-theory, itdescribes a warped product of AdS 4 and a certain squashed and stretched7-sphere. We find quantum numbers in agreement with those of the gaugeinvariant operators in the N=2 superconformal Chern-Simons theory recentlyproposed to be the dual of this M-theory background. This theory is obtainedfrom the UNxUN theory through deforming the superpotential by a termquadratic in one of the superfields. To construct this model explicitly, oneneeds to employ monopole operators whose complete understanding is stilllacking. However, for the U2xU2 gauge theory we make a proposal for theform of the monopole operators which has a number of desired properties. Inparticular, this proposal implies enhanced symmetry of the U2xU2 ABJMtheory for k=1,2; it makes its similarity to and subtle difference from the BLGtheory quite explicit.



Author: Igor Klebanov, Thomas Klose, Arvind Murugan

Source: https://arxiv.org/



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