Holographic RG flows on curved manifolds and quantum phase transitions

Abstract

Holographic RG flows dual to QFTs on maximally symmetric curved manifolds (dS${}_d$, AdS${}_d$, and $S^d$) are considered in the framework of Einstein-dilaton gravity in $d+1$ dimensions. A general dilaton potential is used and the flows are driven by a scalar relevant operator. The general properties of such flows are analyzed and the UV and IR asymptotics computed. New RG flows can appear at finite curvature which do not have a zero curvature counterpart. The so-called 'bouncing flows', where the $\beta$-function has a branch cut at which it changes sign, are found to persist at finite curvature. Novel quantum first-order phase transitions are found, triggered by a variation in the $d$-dimensional curvature in theories allowing multiple ground states.

arXiv comment57 pages + appendices, 32 figures; v2: references added, clarifications added in sec. 6.2; v3: section 4.5 on perturbative stability added, section 5.2 on the holographic beta function added, references added

References in corpus (46)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• On the Holographic Renormalization Group
• Locally Localized Gravity
• Holographic c-theorems in arbitrary dimensions
• Twenty Years of the Weyl Anomaly
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Exploring improved holographic theories for QCD: Part II
• Exploring improved holographic theories for QCD: Part I
• Holographic and Wilsonian Renormalization Groups
• Wormholes in AdS
• How to go with an RG Flow
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• The Quantum Gravitational Back-Reaction On Inflation
• Spacetime and the Holographic Renormalization Group
• A refinement of entanglement entropy and the number of degrees of freedom
• Supersymmetric Field Theories on Three-Manifolds
• Flow Equations for Non-BPS Extremal Black Holes
• Super-Hubble de Sitter Fluctuations and the Dynamical RG
• Correlation Functions in Holographic RG Flows
• Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
• Infrared Regularization of Superstring Theory and the One-Loop Calculation of Coupling Constants
• Holographic Renormalization of general dilaton-axion gravity
• Holographic No-Boundary Measure
• Effective potential for quantum scalar fields on a de Sitter geometry
• Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
• Holographic models of de Sitter QFTs
• O(N) Quantum fields in curved spacetime
• Exotic RG Flows from Holography
• Holographic RG flow and the Quantum Effective Action
• Holography and Brane-bulk Energy Exchange
• Renormalization group flow and symmetry restoration in de Sitter space
• Quantum Probabilities for Inflation from Holography
• Confinement in Anti-de Sitter Space
• The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere
• The holographic quantum effective potential at finite temperature and density
• Holographic self-tuning of the cosmological constant
• Anti-de Sitter boundary in Poincare coordinates
• Holographic RG flows and nearly-marginal operators
• Wilsonian renormalisation and the exact cut-off scale from holographic duality
• Quantum phase transitions in cascading gauge theory

Cited by in corpus (27)

• Euclidean Wormholes and Holography
• Exotic holographic RG flows at finite temperature
• c-theorem of the entanglement entropy
• Holographic RG flows on curved manifolds and the $F$-theorem
• Heating up Exotic RG Flows with Holography
• De Sitter and Anti-de Sitter branes in self-tuning models
• Revisiting Coleman-de Luccia transitions in the AdS regime using holography
• Strong-coupling dynamics and entanglement in de Sitter space
• de Sitter versus anti-de Sitter in Horndeski-like gravity
• Emergent gravity from hidden sectors and TT deformations
• Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
• Holographic QFTs on AdS${}_d$, wormholes and holographic interfaces
• Brane cosmology and the self-tuning of the cosmological constant
• Running Coupling for Holographic QCD with Heavy and Light Quarks: Isotropic case
• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• Exotic RG Flow of Entanglement Entropy
• A Holographic Study of the $a$-theorem and RG Flow in General Quadratic Curvature Gravity
• Axion RG flows and the holographic dynamics of instanton densities
• The self-tuning of the cosmological constant and the holographic relaxion
• Flavored ABJM theory on the sphere and holographic F-functions
• $c$-functions in Higher-derivative Flows Across Dimensions
• Holographic RG flows on Squashed $S^3$
• Beta-Functions and RG flows for Holographic QCD with Heavy and Light Quarks: Isotropic case
• Holographic CFTs on $Ad{S}_d\times S^n$ and conformal defects
• Higher order curvature corrections and holographic renormalization group flow
• Back-reaction in massless de Sitter QFTs: holography, gravitational DBI action and f(R) gravity
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model