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arXiv · 1107.2917

Chiral Scale and Conformal Invariance in 2D Quantum Field Theory

Diego M. Hofman·Andrew Strominger
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Abstract

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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Diego M. Hofman, Andrew Strominger. 2011-09-07. Chiral Scale and Conformal Invariance in 2D Quantum Field Theory. https://doi.org/10.1103/physrevlett.107.161601

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