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

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arxiv 1811.02173 v1 pith:AIPZ5T73 submitted 2018-11-06 hep-th

classification hep-th
keywords symmetryleft-movingdeformationsspecialconformallorentztheorythey
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Mixed state entanglement in deformed field theory at finite temperature

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.

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