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Infinite pseudo-conformal symmetries of classical $T \bar T$, $J \bar T $ and $J T_a$ - deformed CFTs
by Monica Guica, Ruben Monten
- Published as SciPost Phys. 11, 078 (2021)
|As Contributors:||Ruben Monten|
|Arxiv Link:||https://arxiv.org/abs/2011.05445v2 (pdf)|
|Date submitted:||2021-08-16 19:23|
|Submitted by:||Monten, Ruben|
|Submitted to:||SciPost Physics|
We show that $T \bar T, J \bar T$ and $J T_a$ - deformed classical CFTs possess an infinite set of symmetries that take the form of a field-dependent generalization of two-dimensional conformal transformations. If, in addition, the seed CFTs possess an affine $U(1)$ symmetry, we show that it also survives in the deformed theories, again in a field-dependent form. These symmetries can be understood as the infinitely-extended conformal and $U(1)$ symmetries of the underlying two-dimensional CFT, seen through the prism of the "dynamical coordinates" that characterise each of these deformations. We also compute the Poisson bracket algebra of the associated conserved charges, using the Hamiltonian formalism. In the case of the $J \bar T$ and $J T_a$ deformations, we find two copies of a functional Witt - Kac-Moody algebra. In the case of the $T \bar T$ deformation, we show that it is also possible to obtain two commuting copies of the Witt algebra.
Published as SciPost Phys. 11, 078 (2021)
Author comments upon resubmission
- Updated the discussion concerning the additional constraints on the undetermined functions in the TTbar-deformed charge algebra.
- Corrected typos.
Submission & Refereeing History
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Reports on this Submission
Anonymous Report 1 on 2021-9-11 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2011.05445v2, delivered 2021-09-11, doi: 10.21468/SciPost.Report.3520
I am happy to accept this article for publication. My question based on confusion has been clarified by the authors. I apologize to the authors for taking an unnecessarily long time to review the revision.