Publication: Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
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Date
2011
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American Physical Society
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Citation
Hofman, Diego M., and Andrew E. Strominger. 2011. Chiral scale and conformal invariance in 2D quantum field theory. Physical Review Letters 107(16): 161601.
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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.
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high energy physics
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