Three-Dimensional CFTs and RG Flow from Squashing M2-Brane Horizon
arXiv:hep-th/9908110 · doi:10.1016/S0550-3213(99)00660-4
Abstract
Utilizing AdS/CFT correspondence in M-theory, an example of interacting d=3 conformal field theories and renormalization group flow between them is presented. Near-horizon geometry of N coincident M2-branes located on a conical singularity on eight-dimensional hyperkähler manifold or manifold with Spin(7) holonomy is, in large-N limit, AdS4*X7, where X7 is seven-sphere with squashing. Deformation from round to squashed one is known to lead to spontaneous breaking of N=8 local supersymmetry in gauged AdS4 supergravity to N=1, 0. Via AdS/CFT correspondence, it is interpreted as renormalization group flow from SO(5)*SO(3) symmetric UV fixed point to SO(8) symmetric IR fixed point. Evidences for the interpretation are found both from supergravity scalar potential and existence of interpolating static domain-wall thereof, and from conformal dimensions of relevant chiral primary operator at each fixed point.
Latex, 16 pages, 3 figures
References in corpus (1)
Cited by in corpus (20)
- RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
- Three-Dimensional SCFTs, Supersymmetric Domain Wall and Renormalization Group Flow
- Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8 Supergravity
- On the Thermodynamic Bethe Ansatz Equation in Sinh-Gordon Model
- Superconformal Chern-Simons Theories and the Squashed Seven Sphere
- A Study of Holographic Renormalization Group Flows in d=6 and d=3
- Holographic Supergravity Dual to Three Dimensional N=2 Gauge Theory
- Marginal Deformations with U(1)^3 Global Symmetry
- M2-brane Probe Dynamics and Toric Duality
- More CFTs and RG Flows from Deforming M2/M5-Brane Horizon
- Domain Wall from Gauged d=4, N=8 Supergravity: Part I
- Branes in Special Holonomy Backgrounds
- Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- Comments on Holographic Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
- Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory
- Coset for Hopf fibration and Squashing
- Penrose Limit of AdS_4 x V_{5,2} and Operators with Large R Charge
- Penrose Limit of AdS_4 x N^{0,1,0} and N=3 Gauge Theory
- Klebanov-Witten flows in M-theory
- Seven-dimensional Einstein Manifolds from Tod-Hitchin Geometry