Holographic description of quantum field theory
arXiv:0912.5223 · doi:10.1016/j.nuclphysb.2010.02.022
Abstract
We propose that general D-dimensional quantum field theories are dual to (D+1)-dimensional local quantum theories which in general include objects with spin two or higher. Using a general prescription, we construct a (D+1)-dimensional theory which is holographically dual to the D-dimensional O(N) vector model. From the holographic theory, the phase transition and critical properties of the model in dimensions D>2 are described.
23 pages, 1 figure; v2) references added; appendix expanded
References in corpus (12)
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- AdS/CFT Correspondence and Symmetry Breaking
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- Holography from Conformal Field Theory
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- From Free Fields to
- Large-N Collective Fields and Holography
- From Free Fields to -- III
- Evaluating the AdS dual of the critical O(N) vector model
- Multi-matrix models and emergent geometry
- From Free Fields to AdS -- II
Cited by in corpus (39)
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- Exact holographic mapping and emergent space-time geometry
- Exotic RG Flows from Holography
- Holographic spacetime, black holes and quantum error correcting codes: A review
- Background independent holographic description : From matrix field theory to quantum gravity
- The Holographic Geometry of the Renormalization Group and Higher Spin Symmetries
- Exact holographic mapping in free fermion systems
- Effective and exact holographies from symmetries and dualities
- The Exact Renormalization Group and Higher-spin Holography
- Collective Dipole Model of AdS/CFT and Higher Spin Gravity
- Holographic description of large N gauge theory
- Two dimensional Nearly de Sitter gravity
- Holographic Matter : Deconfined String at Criticality
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- Into the Bulk: A Covariant Approach
- Scale-dependent Planck mass and Higgs VEV from holography and functional renormalization
- Higher Spin Fronsdal Equations from the Exact Renormalization Group
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- Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
- Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
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- Connecting the Holographic and Wilsonian Renormalization Groups
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- Developing local RG: quantum RG and BFSS
- Volume and Topological Invariants of Quantum Many-body Systems
- Toward a Higher-Spin Dual of Interacting Field Theories
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- Holographic Wilsonian Renormalization and Chiral Phase Transitions
- Holographic RG from ERG: Locality and General Coordinate Invariance in the Bulk
- Exact Mappings in Condensed Matter Physics
- symmetry of the Exact RG equation
- Holographic entanglement renormalisation for fermionic quantum matter