More on the operator-state map in non-relativistic CFTs

Abstract

We propose an algebraic construction of the operator-state correspondence in non-relativistic conformal field theories by explicitly constructing an automorphism of the Schrödinger algebra relating generators in different frames. It is shown that the construction follows closely that of relativistic conformal field theories.

Journal version---a few minor changes

References in corpus (8)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Nonrelativistic conformal field theories
• Galilean Conformal Algebras and AdS/CFT
• Comments on operators with large spin
• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• General coordinate invariance in quantum many-body systems
• Operator Product Expansion and Conservation Laws in Non-Relativistic Conformal Field Theories

Cited by in corpus (5)

• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• Galilean Gauge Theories from Null Reductions
• The Shadow Formalism of Galilean CFT${}_2$
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory