On Representations and Correlation Functions of Galilean Conformal Algebras

Abstract

Galilean Conformal Algebras (GCA) have been recently proposed as a different non-relativistic limit of the AdS/CFT conjecture. In this note, we look at the representations of the GCA. We also construct explicitly the two and three point correlators in this non-relativistic limit of CFT and comment on the differences with the relativistic case and also the more studied Schrodinger group.

18 pages; v2: More general form of 3-point function presented. Other minor changes and clarifications

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Cited by in corpus (95)

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• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
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• Flat-Space Chiral Gravity
• Bridging Carrollian and Celestial Holography
• BMS Particles in Three Dimensions
• Tensionless Strings and Galilean Conformal Algebra
• Tensionless Strings from Worldsheet Symmetries
• Holographic entanglement entropy and gravitational anomalies
• Holographic Reconstruction of 3D Flat Space-Time
• Near-Horizon Geometry and Warped Conformal Symmetry
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• 3D Flat Holography: Entropy and Logarithmic Corrections
• Comments on Galilean conformal field theories and their geometric realization
• The BMS Bootstrap
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Holographic applications of logarithmic conformal field theories
• On AdS/CFT of Galilean Conformal Field Theories
• Supersymmetric Extension of Galilean Conformal Algebras
• A BMS-invariant free scalar model
• NR $CF{T}_3$ duals in M-theory
• Flat-Space Energy-Momentum Tensor from BMS/GCA Correspondence
• Galilean Conformal Electrodynamics
• The nuts and bolts of the BMS Bootstrap
• Supersymmetric Extension of GCA in 2d
• Correlation Functions of Warped CFT
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Super Galilean conformal algebra in AdS/CFT
• The exotic conformal Galilei algebra and nonlinear partial differential equations
• Dynamical structure of Carrollian Electrodynamics
• Non-relativistic metrics with extremal limits
• Topologically Massive Gravity and Galilean Conformal Algebra: A Study of Correlation Functions
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Semi-classical BMS${}_3$ blocks and flat holography
• Intrinsic Approach to $1+1$D Carrollian Conformal Field Theory
• Gravitational anomalies, entanglement entropy, and flat-space holography
• Entanglement negativity in Galilean conformal field theories
• Aspects of Flat/CCFT Correspondence
• N=2 superconformal Newton-Hooke algebra and many-body mechanics
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• Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
• Geometrizing non-relativistic bilinear deformations
• 2d Galilean Field Theories with Anisotropic Scaling
• The complex null string, Galilean conformal algebra and scattering equations
• A BMS-invariant free fermion model
• On Galilean conformal bootstrap
• N=2 supersymmetric extension of l-conformal Galilei algebra
• Galilean Gauge Theories from Null Reductions
• Non-Relativistic Holography -- A Group-Theoretical Perspective
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• On logarithmic extensions of local scale-invariance
• Dynamical symmetries and causality in non-equilibrium phase transitions
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• Rindler/Contracted-CFT Correspondence
• Logarithmic Correlators in Non-relativistic Conformal Field Theory
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• Galilean Field Theories and Conformal Structure
• A Covariant Form of the Navier-Stokes Equation for the Galilean Conformal Algebra
• Metrics with Galilean Conformal Isometry
• On Holographic Realization of Logarithmic GCA
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• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Non-Lorentzian Kač-Moody Algebras
• Physical ageing and new representations of some Lie algebras of local scale-invariance
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• Open String in Non-Relativistic Background
• Irrelevant and marginal deformed BMS field theories
• Correlation functions of BCFT
• Odd entanglement entropy in Galilean conformal field theories and flat holography
• Galilean Electrodynamics: Covariant formulation and Lagrangian
• Galilean fermions: Classical and quantum aspects
• Anti--de Sitter/ boundary conformal field theory correspondence in the non-relativistic limit
• Galilean Conformal Algebra in Semi-Infinite Space
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• Entanglement Negativity in Flat Holography
• Thermal Corrections to Rényi Entropy in BMS Field Theory
• Weyl Anomaly in NonRelativistic CFTs
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
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• Note About Hamiltonian Dynamics of String in Non-Relativistic D3-Brane Background
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
• Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension