The Squashed, Stretched, and Warped Gets Perturbed

Abstract

We use direct Kaluza-Klein reduction to calculate the spectrum of spin-2 modes around a warped product of AdS_4 and a certain squashed and stretched 7-sphere. The modes turn out to be polynomials in the four complex variables parameterizing the sphere, and their complex conjugates. The background, which possesses U(1)_R x SU(3) symmetry, has been conjectured to be dual to a U(N) x U(N) N=2 superconformal Chern-Simons theory with a sextic superpotential. We find that the U(1)_R x SU(3) quantum numbers of spin-2 modes are in agreement with those determined in arXiv:0809.3773 through a group theoretic method, and with the spectrum of spin-2 gauge invariant operators in the Chern-Simons gauge theory. The mass-squared in AdS_4 is found to be quadratic in these quantum numbers and the Kaluza-Klein excitation number. Most of the spin-2 operators belong to long multiplets, and we determine their dimensions via the AdS/CFT correspondence.

20 pages

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on the Bagger-Lambert theory and multiple M2-branes
• Membranes on an Orbifold
• M2-branes, 3-Lie Algebras and Plucker relations
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Three-dimensional N=6 SCFT's and their membrane dynamics
• N = 8 Superconformal Chern--Simons Theories
• AdS_4/CFT_3 -- Squashed, Stretched and Warped

Cited by in corpus (35)

• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Kaluza-Klein Spectrometry for Supergravity
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Massive spin 2 excitations in $Ad{S}_6\times S^2$ warped spacetimes
• Spin-2 spectrum of six-dimensional field theories
• Spectrum universality properties of holographic Chern-Simons theories
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• Exploring two Universal Extra Dimensions at the CERN LHC
• Embedding the SU(3) sector of SO(8) supergravity in $D=11$
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• Kaluza-Klein Spectroscopy for the Leigh-Strassler SCFT
• Spin 2 operators in holographic 4d $\mathcal{N}=2$ SCFTs
• Spin 2 fluctuations in 1/4 BPS AdS${}_3$/CFT${}_2$
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• Super-Chern-Simons spectra from Exceptional Field Theory
• Universal properties of Kaluza-Klein gravitons
• Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
• Leaps and bounds towards scale separation
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• M5 spikes and operators in the HVZ membrane theory
• A perturbative study of holographic mABJM theory
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow
• Holographic N=1 Supersymmetric Membrane Flows
• Towards An N=1 SU(3)-Invariant Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• Renormalization group flows in gauge-gravity duality
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Separability in Consistent Truncations