Chiral Scale and Conformal Invariance in 2D Quantum Field Theory

Details Chiral Scale and Conformal Invariance in 2D Quantum Field Theory Chiral Scale and Conformal Invariance in 2D Quantum Field Theory

2011-07-14

arxiv.org/abs/1107.2917v2

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figures. v2: reference added, minor typos corrected

Scientific paper

It is well known that a local, unitary Poincare-invariant 2D QFT 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 paper 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.

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