Membranes and fivebranes with lower supersymmetry and their AdS supergravity duals

Abstract

We consider superconformal field theories in three and six dimensions with eight supercharges which can be realized on the world-volume of M-theory branes sitting at orbifold singularities. We find that they should admit a N = 4 and N = 2 supergravity dual in AdS 4 and AdS 7 , respectively. We discuss the characteristics of the corresponding gauged supergravities. †

Three dimensional SCFT from M2 branes at conifold singularities

“…The correspondence between the Green's function in M theory and the correlation function of the field theory has been studied in [4,5,6,7]. Maldacena's conjectures have been generalized to theories with less supersymmetries by orbifolding [8,9,10,11,12,13,14,15,16] and to F theory [18,19,20].…”

GaugedD=7supergravity on theS1/Z2orbifold

“…Since in that case, L S would be SUSY-invariant, the SUSY variation of L S for arbitrary S 4 is a term proportional to ∂ [M S N P QR] arising from the variations of the fermion kinetic terms. Writing this term as 25) and taking B 2 to transform according to 26) we see that the "intermediate" Lagrangian,…”

“…The supersymmetric vacuum has a negative cosmological constant implying that the vacuum in the gauged theory is not Minkowski spacetime but rather anti-de Sitter, AdS 7 . The AdS 7 vacuum with N = 2 supersymmetry has been considered in the context of the AdS/CFT correspondence [25], and was shown to be the supergravity dual of the 6D N = (1, 0) SCFT [26], [27].…”

Branes, orbifolds and the three dimensional Script N = 2 SCFT in the large N limit

“…The massless vector at k = 1 in (2) corresponds to R symmetry current of dimension 2. N = 4 supersymmetric case: In [16,15] supergravity duals of 3 dimensional N = 4 theories with ADE global symmetries were analyzed. They can be realized as worldvolume theories of brane configurations in spacetime.…”

“…The maximally supersymmetric theories in 3 and 6 dimensions have been studied recently [6,12,13,14,15]. The lower supersymmetric case is realized on the worldvolume of M theory at orbifold singularities [16] (See also [17]). Very recently, along the line of [11], the Kaluza-Klein states of supergravity theory on the orbifolds of AdS 4 × S 7 were studied and compared with the chiral primary operators of the SCFT on the boundary [18].…”