Symmetries versus the spectrum of $ J\bar T$-deformed CFTs
Monica Guica
SciPost Phys. 10, 065 (2021) · published 11 March 2021
- doi: 10.21468/SciPostPhys.10.3.065
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Abstract
It has been recently shown that classical $J\bar T$ - deformed CFTs possess an infinite-dimensional Witt-Ka\v{c}-Moody symmetry, generated by certain field-dependent coordinate and gauge transformations. On a cylinder, however, the equal spacing of the descendants' energies predicted by such a symmetry algebra is inconsistent with the known finite-size spectrum of $J\bar T$ - deformed CFTs. Also, the associated quantum symmetry generators do not have a proper action on the Hilbert space. In this article, we resolve this tension by finding a new set of (classical) conserved charges, whose action is consistent with semi-classical quantization, and which are related to the previous symmetry generators by a type of energy-dependent spectral flow. The previous inconsistency between the algebra and the spectrum is resolved because the energy operator does not belong to the spectrally flowed sector.
Cited by 6
Author / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Monica Guica
- 1 Stockholm University [Univ Stockholm]
- 2 L'Institut de physique théorique [IPhT]
- 3 Nordisk Institut for Teoretisk Fysik / Nordic Institute for Theoretical Physics [NORDITA]