RG-Flow, Gravity and the Cosmological Constant

Abstract

We study the low energy effective action $S$ of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between between 5-d supergravity and 4-d large $N$ field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action $S$ that controls its behavior under scale transformations. We find that as a result each extremum of $S$ automatically describes a complete RG trajectory of classical solutions. This implies that, provided the cosmological constant is canceled in the high energy theory, classical flat space backgrounds naturally remain stable under the RG-flow. The mechanism responsible for this stability is that the non-zero vacuum energy generated by possible phase transitions, is absorbed by a dynamical adjustment of the contraction rate of the warp factor.

23 pages, 1 figure

References in corpus (3)

• Modeling the fifth dimension with scalars and gravity
• M Theory, Orientifolds and G-Flux
• Gravitational Stability and Renormalization-Group Flow

Cited by in corpus (143)

• The Cosmological Constant
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Tests of the Gravitational Inverse-Square Law
• On the Holographic Renormalization Group
• RS1, Custodial Isospin and Precision Tests
• Holographic and Wilsonian Renormalization Groups
• Warped/Composite Phenomenology Simplified
• Baryon Number in Warped GUTs : Model Building and (Dark Matter Related) Phenomenology
• Cosmological and black hole brane-world Universes in higher derivative gravity
• Conformal Technicolor
• Dilaton-gravity on the brane
• Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity
• The Holographic Renormalization Group
• Categorizing Different Approaches to the Cosmological Constant Problem
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• The Cosmological Constant Problem from a Brane-World Perspective
• Effective Theory of a Light Dilaton
• Relativistic Stars in Randall-Sundrum Gravity
• Supersymmetry Breaking and Composite Extra Dimensions
• Conformal anomaly from dS/CFT correspondence
• Anomaly Mediated Supersymmetry Breaking in Four Dimensions, Naturally
• A late-time transition in the cosmic dark energy?
• Effective theories and black hole production in warped compactifications
• Grand Unification in RS1
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• De Sitter Holography and the Cosmic Microwave Background
• Warped Fermions and Precision Tests
• Bounds on curved domain walls in 5d gravity
• Small Numbers from Tunneling Between Brane Throats
• On Spacetime Entanglement
• Brane world from IIB matrices
• The Running of the Cosmological and the Newton Constant controlled by the Cosmological Event Horizon
• Gauge coupling renormalization in RS1
• Membrane theory of entanglement dynamics from holography
• First Order Description of D=4 static Black Holes and the Hamilton-Jacobi equation
• Braneworld black holes
• Finite Action in d5 Gauged Supergravity and Dilatonic Conformal Anomaly for Dual Quantum Field Theory
• Dynamical Instability of Brane Solutions with a Self-Tuning Cosmological Constant
• Weak Scale Supersymmetry Without Weak Scale Supergravity
• Resonance at 125 GeV: Higgs or Dilaton/Radion?
• The CFT-interpolating Black Hole in Three Dimensions
• Geodesics and Newton's Law in Brane Backgrounds
• Cosmological constant, brane tension and large hierarchy in a generalized Randall-Sundrum braneworld scenario
• SUSY Splits, But Then Returns
• Four-dimensional Quantum Gravity with a Cosmological Constant from Three-dimensional Holomorphic Blocks
• Brane World Scenarios and the Cosmological Constant
• Holographic RG flow dual to attractor flow in extremal black holes
• Dynamics of a Stabilized Radion and Duality
• N=1 and N=2 pure supergravities on a manifold with boundary
• Is Quantum Spacetime Infinite Dimensional ?
• Solving the Hierarchy Problem without Supersymmetry or Extra Dimensions: An Alternative Approach
• Fake Superpotential for Large and Small Extremal Black Holes
• From Fixed Points to the Fifth Dimension
• Effective Field Theories and Matching for Codimension-2 Branes
• A Study of Holographic Renormalization Group Flows in d=6 and d=3
• Can Renormalization Group Flow End in a Big Mess?
• "Gaugomaly" Mediated SUSY Breaking and Conformal Sequestering
• Heisenberg saturation of the Froissart bound from AdS-CFT
• Universe Models with Negative Bulk Viscosity
• A note on CFT dual of RS model with gauge fields in bulk
• A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization
• Self-tuning in an Outgoing Brane Wave Model
• Strings, Branes and Extra Dimensions
• Nonlocal braneworld action: an alternative to Kaluza-Klein description
• AdS_5 and the 4D Cosmological Constant
• Holographic Dark Energy Scenario and Variable Modified Chaplygin Gas
• Supersymmteric Null-like Holographic Cosmologies
• Consistency Conditions for Holographic Duality
• The Wilson-Polchinski Renormalization Group Equation in the Planar Limit
• The Cosmological Constant Problem, an Inspiration for New Physics
• Higher curvature gravity at the LHC
• RS1, Higher Derivatives and Stability
• On the supersymmetry invariance of flat supergravity with boundary
• On n-point Amplitudes in N=4 SYM
• AdS/CFT Correspondence, Critical Strings and Stochastic Quantization
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Inflation as a probe of new physics
• Holographic renormalization group and conformal anomaly for AdS_9/CFT_8 correspondence
• Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence
• Osborn Equation and Irrelevant Operators
• Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
• A non-perturbative field theory approach for the Kondo effect: Emergence of an extra dimension and its implication for the holographic duality conjecture
• Holographic Renormalization Group with Fermions and Form Fields
• Braneworld effective action and origin of inflation
• Gravity localization with a domain wall junction in six dimensions
• A Massive Quasi-normal Mode in the Holographic Lifshitz Theory
• String Theory or Field Theory?
• Graviton correlator and metric perturbations in de Sitter brane-world
• Wilson loop and dS/CFT correspondence
• Brane Supersymmetry Breaking and the Cosmological Constant: Open Problems
• A Small Cosmological Constant from Warped Compactification with Branes
• One-loop effective potential from higher-dimensional AdS black holes
• Scheme-dependence of holographic conformal anomaly in d5 gauged supergravity with non-trivial bulk potential
• Supersymmetry at Large Distance Scales
• Constraints on tachyon inflationary models with an AdS/CFT correspondence
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions
• Left-Right Asymmetric Holographic RG Flow with Gravitational Chern-Simons Term
• Holographic Cosmic Quintessence on Dilatonic Brane World
• Emergent geometry in recursive renormalization group transformations
• $a-c$ test of holography vs quantum renormalization group
• An Observational Test of Holographic Inflation
• Induced Curvature in Brane Worlds by Surface Terms in String Effective Actions with Higher-Curvature Corrections
• Global p-Brane World: A New Approach to Stable Mass Hierarchy
• Antisymmetric tensor fields in a generalized Randall-Sundrum scenario
• An exact statement for Wilsonian and Holographic renormalization group
• Geometric encoding of renormalization group $\beta -$functions in an emergent holographic dual description
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Emergent dual holographic description for interacting Dirac fermions in the large $N$ limit
• Connecting the Holographic and Wilsonian Renormalization Groups
• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Irrelevant Operators and their Holographic Anomalies
• Revisiting AdS/CFT at a finite radial cut-off
• Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
• Warped Hybrid Inflation
• Brane running and AdS/CFT
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Developing local RG: quantum RG and BFSS
• Gauge and moduli hierarchy in a multiply warped braneworld scenario
• Nonequilibrium thermodynamics perspectives for the monotonicity of the renormalization group flow
• Thermodynamics of the most generalized form of Holographic Dark Energy and some particular cases with Corrected Entropies
• Beyond quantum chaos in emergent dual holography
• Perturbative Construction of Stationary Randall-Sundrum II Black Holes on a 5-Brane
• Four-Dimensional Planck Scale is Not Universal in Fifth Dimension in Randall-Sundrum Scenario
• Tachyons in a slice of AdS
• Supermassive black holes may be limited by the Holographic Bound
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• Off-diagonal cosmological solutions in emergent gravity theories and Grigory Perelman entropy for geometric flows
• Holographic RG flow triggered by a classically marginal operator
• Renormalization group flow to effective quantum mechanics at IR in an emergent dual holographic description for spontaneous chiral symmetry breaking
• On Functional Hamilton-Jacobi and Schrödinger Equations and Functional Renormalization Group
• 2D Black Hole and Holographic Renormalization Group
• A Non-Equilibrium Approach To Holographic Superconductors Using Gradient Flow
• A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory
• On the geometric approach to the boundary problem in supergravity
• Cardy-Verlinde formula for an axially symmetric dilaton-axion black hole
• Phases of Braneworlds, Spinning D3-branes and Strongly-Coupled Gauge Theories
• On black holes in heterotic braneworlds
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Lectures on Warped Compactifications and Stringy Brane Constructions
• No Go Theorem for Self Tuning Solutions With Gauss-Bonnet Terms
• 5D supersymmetric domain wall solution with active hyperscalars and mixed AdS/non-AdS asymptotics
• Holographic trace anomaly at finite temperature