title: Chiral scale and conformal invariance in 2D quantum field theory.
abstract: It is well known that a local, unitary Poincaré-invariant 2D quantum field theory with a global scaling symmetry and a discrete non-negative spectrum of scaling dimensions necessarily has both a left and a right local conformal symmetry. In this Letter, we consider a chiral situation beginning with only a left global scaling symmetry and do not assume Lorentz invariance. We find that a left conformal symmetry is still implied, while right translations are enhanced either to a right conformal symmetry or a left U(1) Kac-Moody symmetry.
authors: Center for the Fundamental Laws of Nature, Harvard University, Cambridge, Massachusetts 02138, USA.
authors: Diego M
authors: DM
authors: Hofman
authors: Andrew
authors: A
authors: Strominger