Logarithmic Correlators in Non-relativistic Conformal Field Theory
arXiv:1001.1036 · doi:10.1063/1.3482008
Abstract
We show how logarithmic terms may arise in the correlators of fields which belong to the representation of the Schrodinger-Virasoro algebra (SV) or the affine Galilean Conformal Algebra (GCA). We show that in GCA, only scaling operator can have a Jordanian form and rapidity can not. We observe that in both algebras logarithmic dependence appears along the time direction alone.
18 pages, no figures,some errors corrected
References in corpus (15)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Galilean Conformal Algebras and AdS/CFT
- GCA in 2d
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Topologically Massive Gravity and the AdS/CFT Correspondence
- The Incompressible Non-Relativistic Navier-Stokes Equation from Gravity
- From Percolation to Logarithmic Conformal Field Theory
- AdS_3/LCFT_2 - Correlators in New Massive Gravity
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
- On AdS/CFT of Galilean Conformal Field Theories
- The exotic conformal Galilei algebra and nonlinear partial differential equations
- Affine Extension of Galilean Conformal Algebra in 2+1 Dimensions
- Asymptotic symmetries of Schrödinger spacetimes
Cited by in corpus (15)
- Holographic applications of logarithmic conformal field theories
- Phenomenology of ageing in the Kardar-Parisi-Zhang equation
- Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
- Non-Relativistic Holography -- A Group-Theoretical Perspective
- Dynamical symmetries and causality in non-equilibrium phase transitions
- On logarithmic extensions of local scale-invariance
- On Holographic Realization of Logarithmic GCA
- Causality from dynamical symmetry: an example from local scale-invariance
- Logarithmic Exotic Conformal Galilean Algebras
- Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
- Galilean conformal algebras in two spatial dimension
- Physical ageing and new representations of some Lie algebras of local scale-invariance
- Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
- Aspects of infinite dimensional -super Galilean conformal algebra
- Correlation functions for Galilean conformal invariant field theory