Hofman, DiegoStrominger, Andrew2012-02-102011Hofman, Diego M., and Andrew E. Strominger. 2011. Chiral scale and conformal invariance in 2D quantum field theory. Physical Review Letters 107(16): 161601.1079-71140031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:8156535It 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.en-UShigh energy physicsJournal Article2012-02-1010.1103/PhysRevLett.107.161601