%0 Journal Article %1 Hofman2011Chiral %A Hofman, Diego M. %A Strominger, Andrew %D 2011 %K 2d-cft, arxiv, lifshitz %T Chiral Scale and Conformal Invariance in 2D Quantum Field Theory %U http://arxiv.org/abs/1107.2917 %X 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.

@article{Hofman2011Chiral, 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Hofman, Diego M. and Strominger, Andrew}, biburl = {https://www.bibsonomy.org/bibtex/2262c61f90804378910b960e91a3f3a9e/acastro}, citeulike-article-id = {9569108}, citeulike-linkout-0 = {http://arxiv.org/abs/1107.2917}, citeulike-linkout-1 = {http://arxiv.org/pdf/1107.2917}, day = 7, eprint = {1107.2917}, interhash = {8a57977a24ab55749b39a98405e102e9}, intrahash = {262c61f90804378910b960e91a3f3a9e}, keywords = {2d-cft, arxiv, lifshitz}, month = sep, posted-at = {2011-07-22 02:25:42}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Chiral Scale and Conformal Invariance in 2D Quantum Field Theory}}, url = {http://arxiv.org/abs/1107.2917}, year = 2011 }