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NR <i>CFT</i><sub>3</sub> duals in M-theory
Colgá,in, Eoin Ó,Yavartanoo, Hossein IOP Publishing Ltd 2009 Journal of high energy physics Vol.2009 No.9
<P>We extend the search for supergravity solution duals of non-relativistic d = 3 CFTs with dynamical exponent z = 2 to d = 11 supergravity. We consider the internal space to be an S-2 bundle over a product base: S-2 x S-2 and S-2 x T-2. For purely M-theoretic S-2 x S-2, we find only magnetic fluxes preserving two supersymmetries. S-2 x T-2 is far richer admitting, in addition to magnetic fluxes, various non-trivial electric fluxes which break all supersymmetry.</P>
Non-relativistic M-Theory solutions based on Kähler-Einstein spaces
Colgá,in, Eoin Ó,Varela, Oscar,Yavartanoo, Hossein IOP Publishing Ltd 2009 Journal of high energy physics Vol.2009 No.7
<P>We present new families of non-supersymmetric solutions of D = 11 supergravity with non-relativistic symmetry, based on six-dimensional Kahler-Einstein manifolds. In constructing these solutions, we make use of a consistent reduction to a five-dimensional gravity theory coupled to a massive scalar and vector field. This theory admits a non-relativistic CFT dual with dynamical exponent z = 4, which may be uplifted to D = 11 supergravity. Finally, we generalise this solution and find new solutions with various z, including z = 2.</P>
A requiem forAdS4×CP3fermionic self-T duality
Ó,Colgá,in, E.,Pittelli, A. American Physical Society 2016 Physical Review D Vol.94 No.10
<P>Strong evidence for dual superconformal symmetry in N = 6 superconformal Chern-Simons theory has fueled expectations that the AdS/CFT dual geometry AdS(4) x CP3 is self-dual under T duality. We revisit the problem to identify commuting bosonic and fermionic isometries in a systematic fashion and show that fermionic T duality, a symmetry originally proposed by Berkovits and Maldacena, inevitably leads to a singularity in the dilaton transformation. We show that TsT deformations commute with fermionic T duality and comment on T duality in the corresponding sigma model. Our results rule out self-duality based on fermionic T duality for AdS(4) x CP3 or its TsT deformations but leave the door open for new possibilities.</P>
Kaluza-Klein consistency and supersymmetric AdS solutions
Gauntlett, J.P.,Colgá,in, E.Ó,Varela, O. WILEY-VCH Verlag 2008 Fortschritte der Physik Vol.56 No.7
<P>We discuss the conjecture that for any supersymmetric solution of D = 10 or D = 11 supergravity consisting of a warped product of a d + 1-dimensional anti-de-Sitter space with a Riemannian manifold M, there is a consistent Kaluza-Klein truncation on M to a gauged supergravity theory in d + 1-dimensions for which the fields are dual to those in the superconformal current multiplet of the d-dimensional dual SCFT. This means that any solution of the gauged supergravity theory can be uplifted on M to obtain an exact solution of D = 10 or D = 11 supergravity. We verify this conjecture for the most general class of supersymmetric AdS<SUB>5</SUB> solutions of D = 11 supergravity by constructing an explicit KK reduction ansatz to minimal gauged supergravity in D = 5, at the level of the bosonic fields.</P>