Perturbing around a warped product ofAdS₄and seven-ellipsoid

Abstract

We compute the spin-2 Kaluza-Klein modes around a warped product of AdS 4 and a seven-ellipsoid. This background with global G 2 symmetry is related to a U(N) × U(N) N = 1 superconformal Chern-Simons matter theory with sixth order superpotential. The mass-squared in AdS 4 is quadratic in G 2 quantum number and KK excitation number. We determine the dimensions of spin-2 operators using the AdS/CFT correspondence. The connection to N = 2 theory preserving SU(3) × U(1) R is also discussed.

Fourteen new stationary points in the scalar potential of SO(8)-gauged $$ \mathcal{N} = 8 $$ , D = 4 supergravity

“…The Lie algebra of the group E 7(7) allows a beautiful triality-symmetric construction based on the subalgebra so(8): Just as so (8) can be extended to so (9) by adding eight extra generators that transform in the eight-dimensional vector representation 8 v , plus the obvious commutators for these new generators amongst one another, we can also perform a triality-symmetric extension of so(8) to f 4 by simultaneously adding the three inequivalent real eightdimensional vector (V), spinor (S), and co-spinor (C) representations, again with the obvious commutator relations, which here are e.g. of the form [V, S] = C and involve the so(8) Clifford algebra generators γ a βγ .…”

“…[3,4]), and up to the possibility of a deformation that promotes the vector fields to nonabelian gauge bosons [5,6,7,8], its structure seems to be uniquely determined. As the model with gauge group 1 SO(8) arises from the compactification of D = 11 supergravity on a highly symmetric space -the seven-sphere S 7 -it occupies a prominent place in the family of supersymmetric field theory models, and as such it is not surprising to see that detailed information about its properties turned out to have a number of interesting applications [9,10,11,12,13]. Most of these are, of course, related to the AdS/CFT correspondence [14], as the vacua of SO(8)-gauged N = 8 supergravity correspond to stationary points in the scalar potential with negative (Planck-scale) cosmological constant, hence an Anti de-Sitter background geometry.…”

Spin-2 spectrum of six-dimensional field theories

“…At this stage one can often be quite general, using only generic features of the class of solutions under consideration, and non-committing to a precise space M D−d . In the second stage one This fact has already been used in several cases, to infer properties of the corresponding operator spectrum, without performing the full KK reduction; see for example [14,15,16,17,18,19] for AdS 4 solutions. In particular, [17] showed in general the above statement about the spin-2 mass operator, drawing on earlier results by [20], and their arguments can be applied also to our case.…”

Evidence for the holographic dual ofN=3solution in massive type IIA supergravity

“…These lead to new proposals of AdS 4 /CFT 3 [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], in which the dynamics of the IR CFTs are still governed by certain superconformal Chern-Simons matter theories with more than one gauge groups. 1 In three dimensions, there exist also superconformal Chern-Simons matter systems with a single gauge group [26,27].…”