Holographic RG Flows from Quasi-Topological Gravity
arXiv:1207.0778
Abstract
We investigate the holographic Renormalization Group (RG) flows and the critical phenomena that take place in the 's dual to the d-dimensional cubic Quasi-Topological Gravity coupled to scalar matter. The knowledge of the corresponding flat Domain Walls(DWs) solutions, allows us to derive the explicit form of the 's beta-functions as well as of the trace anomalies and -functions in terms of the matter superpotential. As a consequence we are able to determine the complete set of data characterizing the universality classes of the UV and IR critical points and to follow the particular RG evolution of this data. We further analyse the dependence of the critical properties of such dual 's on the values of the Lovelock couplings and on the shape of the superpotential. For odd values of , the explicit form of the "a- and c- central charges" as functions of the running coupling constant, enable us to establish the conditions under which the -Theorems for their decreasing are valid. The restrictions imposed on the massless Holographic RG flows by the requirements of the positivity of the energy fluxes are derived. The particular case of quartic Higgs-like superpotential is studied in detail. It provides an example of unitary dual 's having few critical points representing second or infinite order phase transitions. Depending on the range of the values of the coupling constant they exhibit massive and massless phases, described by a chain of distinct DWs solutions sharing common boundaries.
v2 improvements, 78 pages, 13 figures, typos corrected, few references added
References in corpus (51)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
- AdS/CFT Correspondence and Symmetry Breaking
- On Renormalization Group Flows in Four Dimensions
- Implications of Conformal Invariance in Field Theories for General Dimensions
- Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
- Holographic c-theorems in arbitrary dimensions
- Viscosity Bound Violation in Higher Derivative Gravity
- Viscosity Bound and Causality Violation
- Seeing a c-theorem with holography
- Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
- Anti De Sitter Space And Holography
- Holographic GB gravity in arbitrary dimensions
- Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
- Beyond eta/s = 1/4pi
- Black Holes in Quasi-topological Gravity
- The Constraints of Conformal Symmetry on RG Flows
- Bulk viscosity of gauge theory plasma at strong coupling
- Conformal Phase Transition in Gauge Theories
- Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
- The -theorem and the Asymptotics of 4D Quantum Field Theory
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- Positivity Constraints on Anomalies in Supersymmetric Gauge Theories
- Holographic studies of quasi-topological gravity
- A remark on the AdS/CFT correspondence and the renormalization group flow
- Holographic Entanglement Entropy in Lovelock Gravities
- On universality of stress-energy tensor correlation functions in supergravity
- Causality of Holographic Hydrodynamics
- Holographic Hydrodynamics with a Chemical Potential
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- Comments on Holographic Entanglement Entropy and RG Flows
- AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
- On the new massive gravity and AdS/CFT
- Holographic Lovelock Gravities and Black Holes
- Black Holes in (Quartic) Quasitopological Gravity
- Universal regularization prescription for Lovelock AdS gravity
- Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
- Shear viscosity and instability from third order Lovelock gravity
- Dissecting the string theory dual of QCD
- Massive Gravity Theories and limits of Ghost-free Bigravity models
- Conformal Phase Transitions at Weak and Strong Coupling
- On Closed String Tachyon Dynamics
- Renormalization Group Patterns and C-Theorem in More Than Two Dimensions
- Energy Flux Positivity and Unitarity in CFTs
- Holographic phase space: -functions and black holes as renormalization group flows
- New Massive Gravity Domain Walls
- C-Functions in Lovelock Gravity
- Massive 3D Gravity Big-Bounce
- New Massive Gravity Holography
- Born-Infeld Type Extension of (Non-)Critical Gravity