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arXiv · 1811.02173

Very Special $T\bar{J}$ deformed CFT

Yu Nakayama
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Abstract

We study a very special class of $T\bar{J}$ deformations of conformal field theories in two dimensions. While the deformations break the Lorentz symmetry, they preserve the twisted Lorentz symmetry. The resulting theory has right-moving Virasoro as well as left-moving translation and left-moving (chiral) scale symmetry without left-moving special conformal symmetry (nor left-moving Virasoro symmetry). As in the original $T\bar{J}$ deformations, they may be regarded as an operator dependent non-local change of coordinates. We show concrete examples based on worldsheet string theory and discuss how the non-unitary nature enables us to circumvent various no-go theorems.

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Yu Nakayama. 2018-11-06. Very Special $T\bar{J}$ deformed CFT. https://doi.org/10.1103/physrevd.99.085008

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