Massive (pesudo)Scalars in AdS${}_4$, SO(4) Invariant Solutions and Holography

Abstract

We include a new 7-form ansatz in 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is considered as a U(1) bundle on CP^3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar equation from which we focus on a few massive bulk modes that are SU(4) x U(1) R-singlet and break all supersymmetries. The mass term breaks the scale invariance and so the (perturbative) solutions we obtain are SO(4) invariant in Euclidean AdS_4 (or SO(3,1) in its dS_3 slicing). The corresponding bare operators are irrelevant in probe approximation; and to realize the AdS_4/CFT_3 correspondence, we need to swap the fundamental representations of $SO(8)$ for supercharges with those for scalars and fermions. In fact, we have domain-walls arising from (anti)M5-branes wrapping around S^3/Z_k of the internal space with parity breaking scheme. As a result, the duals may be in three-dimensional U(N) or O(N) Chern-Simon models with matters in fundamental representations. Accordingly, we present dual boundary operators and build instanton solutions in a truncated version of the boundary ABJM action; and, because of the unboundedness of bulk potential from below, it is thought that they lead to big crunch singularities in the bulk.

arXiv comment20 Pages; than the v1 version: (minor) reorganization of the content: for more readability and clarity, discussions on backreaction removed from here; typos fixed

References in corpus (27)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• AdS/CFT Correspondence and Symmetry Breaking
• Fractional M2-branes
• Higher Spin Gauge Theories: Star-Product and AdS Space
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Anti-de Sitter Black Holes in Gauged N=8 Supergravity
• The Higher Spin/Vector Model Duality
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Quantum Criticality and Holographic Superconductors in M-theory
• A Massive Study of M2-brane Proposals
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Holography of AdS vacuum bubbles
• Vacuum decay into Anti de Sitter space
• M2-M5 Systems in N=6 Chern-Simons Theory
• Breathing mode compactifications and supersymmetry of the brane-world
• Near-Extremal Correlators and Generalized Consistent Truncation for AdS_{4|7}\times S^{7|4}
• Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
• Oscillating Fubini instantons in curved space
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Fubini vacua as a classical de Sitter vacua
• New Instantons in AdS_4/CFT_3 from D4-Branes Wrapping Some of CP^3
• Fubini instantons in curved space
• Dual Instantons in Anti-membranes Theory
• Marginal Fluctuations as Instantons on M2/D2-Branes
• Non-Minimally Coupled Pseudoscalars in AdS_4 for Instantons in CFT_3
• Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k
• Static Length Scales of N=6 Chern-Simons Plasma

Cited by in corpus (4)

• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• A Truncation of 11-Dimensional Supergravity for Fubini-Like Instantons in AdS_4/CFT_3
• Higgs-like (pseudo)Scalars in AdS${}_4$, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3