AdS_4/CFT_3 -- Squashed, Stretched and Warped

Abstract

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses N=2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a warped product of AdS_4 and a certain squashed and stretched 7-sphere. We find quantum numbers in agreement with those of the gauge invariant operators in the N=2 superconformal Chern-Simons theory recently proposed to be the dual of this M-theory background. This theory is obtained from the U(N)xU(N) theory through deforming the superpotential by a term quadratic in one of the superfields. To construct this model explicitly, one needs to employ monopole operators whose complete understanding is still lacking. However, for the U(2)xU(2) gauge theory we make a proposal for the form of the monopole operators which has a number of desired properties. In particular, this proposal implies enhanced symmetry of the U(2)xU(2) ABJM theory for k=1,2; it makes its similarity to and subtle difference from the BLG theory quite explicit.

32 pages, v2: references added, minor changes, v3: some clarifications, published version

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• The Large N Limit of Superconformal Field Theories and Supergravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• AdS/CFT Correspondence and Symmetry Breaking
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Fractional M2-branes
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Superconformal Chern-Simons Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• Monopole Operators and Mirror Symmetry in Three Dimensions
• Holography for fermions
• Membranes on an Orbifold
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Tilings, Chern-Simons Theories and M2 Branes
• Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
• Brane Tilings and M2 Branes
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
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• An N = 2 Supersymmetric Membrane Flow
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Cited by in corpus (82)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The complete superconformal index for N=6 Chern-Simons theory
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• M2-branes on Orbifolds of the Cone over Q^{1,1,1}
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Kaluza-Klein Spectrometry for Supergravity
• Notes on Supersymmetry Enhancement of ABJM Theory
• Multiple Membranes in M-theory
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• ABJM models in N=3 harmonic superspace
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• Kaluza-Klein Spectrometry from Exceptional Field Theory
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• M2-branes and AdS/CFT
• Half-BPS supergravity solutions and superalgebras
• The SU(3)-invariant sector of new maximal supergravity
• N=2 supersymmetric AdS_4 solutions of M-theory
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• The Squashed, Stretched, and Warped Gets Perturbed
• Consistent $\mathcal{N}=8$ truncation of massive IIA on $S^6$
• Electric/magnetic duality and RG flows in AdS4/CFT3
• M-Theory in the Gaugeon Formalism
• Zero-form and one-form symmetries of the ABJ and related theories
• Supersymmetric States in Large N Chern-Simons-Matter Theories
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Three-dimensional topologically gauged N=6 ABJM type theories
• Mass Deformations of the ABJM Theory: The Holographic Free Energy
• A new N=1 AdS4 Vacuum of Maximal Supergravity
• Three-dimensional N=8 conformal supergravity and its coupling to BLG M2-branes
• Brane-Jet Instabilities
• A Monopole Index for N=4 Chern-Simons Theories
• Aspects of monopole operators in N=6 Chern-Simons theory
• Localization and Attraction
• The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus
• The free energy of N=2 supersymmetric AdS_4 solutions of M-theory
• Spectrum universality properties of holographic Chern-Simons theories
• Kaluza-Klein fermion mass matrices from Exceptional Field Theory and $\mathcal{N}=1$ spectra
• The spectrum of marginally-deformed $\mathcal{N}=2$ CFTs with AdS${}_4$ S-fold duals of type IIB
• 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
• Wilson loops and the geometry of matrix models in AdS_4/CFT_3
• Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• M-Theory and Maximally Supersymmetric Gauge Theories
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• M5 brane from mass deformed BLG theory
• M2-brane Flows and the Chern-Simons Level
• Super-Chern-Simons spectra from Exceptional Field Theory
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
• Perturbing Around A Warped Product Of AdS_4 and Seven-Ellipsoid
• A Cubic Deformation of ABJM: The Squashed, Stretched, Warped, and Perturbed Gets Invaded
• The Gauge Dual of A Warped Product of AdS_4 and A Squashed and Stretched Seven-Manifold
• Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory
• Dual Instantons in Anti-membranes Theory
• Charges and homologies in AdS_4/CFT_3
• Coset for Hopf fibration and Squashing
• On thermodynamics of N=6 superconformal Chern-Simons theory
• On the U(1)${}^2$-invariant sector of dyonic maximal supergravity
• A perturbative study of holographic mABJM theory
• Marginal deformations from type IIA supergravity
• Aspects of ABJM orbifolds
• Exotic Spheres' Metrics and Solutions via Kaluza-Klein Techniques
• Spectral Functions in Holographic Renormalization Group Flows
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• The Eleven-Dimensional Uplift of Four-Dimensional Supersymmetric RG Flow
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Towards An N=1 SU(3)-Invariant Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• New N=2 Supersymmetric Membrane Flow In Eleven-Dimensional Supergravity
• Holographic N=1 Supersymmetric Membrane Flows
• Enhanced Supersymmetry of Nonrelativistic ABJM Theory
• Semi-classical monopole operators in Chern-Simons-matter theories
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Renormalization group flows in gauge-gravity duality
• Monopole operators and symmetry enhancement in ABJM theory revisited
• ${\tau }_{RR}$ minimization in presence of hypermultiplets
• Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
• Classical Monopole Solutions to $\mathcal{N}=3$ Chern-Simons-Yang-Mills Theories
• $\mathcal{N}=1$ S-fold spectroscopy
• Separability in Consistent Truncations