Comments on Galilean conformal field theories and their geometric realization
arXiv:0903.5184 · doi:10.1007/JHEP05(2010)091
Abstract
We discuss non-relativistic conformal algebras generalizing the Schrödinger algebra. One instance of these algebras is a conformal, acceleration-extended, Galilei algebra, which arises also as a contraction of the relativistic conformal algebra. In two dimensions, this admits an "exotic" central extension, whereby boosts do not commute. We study general properties of non-relativistic conformal field theories with such symmetry. We realize geometrically the symmetry in terms of a metric invariant under the exotic conformal Galilei algebra, although its signature is neither Lorentzian nor Euclidean. We comment on holographic-type calculations in this background.
37 pages; v2: references added, typos fixed
References in corpus (10)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gravity duals for non-relativistic CFTs
- Galilean Conformal Algebras and AdS/CFT
- The geometry of Schrödinger symmetry in non-relativistic CFT
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- Correlation Functions in Non-Relativistic Holography
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- On AdS/CFT of Galilean Conformal Field Theories
- Nonrelativistic Superconformal M2-Brane Theory
- CFT Hydrodynamics: Symmetries, Exact Solutions and Gravity
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- On Higher-dimensional Carrollian and Galilean Conformal Field Theories
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- Remarks on l-conformal extension of the Newton-Hooke algebra
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- Dynamical realization of l-conformal Galilei algebra and oscillators
- Galilean Conformal Electrodynamics
- Supersymmetric Extension of GCA in 2d
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- Entanglement negativity in Galilean conformal field theories
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- Aspects of Non-Relativistic Quantum Field Theories
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- Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
- 2d Galilean Field Theories with Anisotropic Scaling
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- N=2 supersymmetric extension of l-conformal Galilei algebra
- Dynamical symmetries and causality in non-equilibrium phase transitions
- On logarithmic extensions of local scale-invariance
- Logarithmic Correlators in Non-relativistic Conformal Field Theory
- On non-local representations of the ageing algebra
- Schrödinger symmetry: a historical review
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- Nonrelativistic conformal transformations in Lagrangian formalism
- Metrics with Galilean Conformal Isometry
- On Holographic Realization of Logarithmic GCA
- -oscillators from second-order invariant PDEs of the centrally extended Conformal Galilei Algebras
- Meta-conformal invariance and the boundedness of two-point correlation functions
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- Minimal realization of -conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
- Logarithmic Exotic Conformal Galilean Algebras
- Invariant PDEs with Two-dimensional Exotic Centrally Extended Conformal Galilei Symmetry
- Physical ageing and new representations of some Lie algebras of local scale-invariance
- Conformal Galilei algebras, symmetric polynomials and singular vectors
- Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
- Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
- Fidelity susceptibility for Lifshitz geometries via Lifshitz Holography
- Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions
- On Casimir Operators of Conformal Galilei Algebras
- Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
- Boundedness of meta-conformal two-point functions in one and two spatial dimensions
- Nonlocal dynamics and infinite non-relativistic conformal symmetries
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- SU(1,2) invariance in two-dimensional oscillator
- Entanglement Negativity in Flat Holography
- Aspects of infinite dimensional -super Galilean conformal algebra
- Contractions from Grading
- Remarks on Galilean electromagnetism