Symmetries versus the spectrum of $ J\bar T$-deformed CFTs - Archive ouverte HAL
Article Dans Une Revue SciPost Physics Année : 2021

Symmetries versus the spectrum of $ J\bar T$-deformed CFTs

Résumé

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.

Dates et versions

hal-03108048 , version 1 (12-01-2021)

Identifiants

Citer

Monica Guica. Symmetries versus the spectrum of $ J\bar T$-deformed CFTs. SciPost Physics, 2021, 10 (3), pp.065. ⟨10.21468/SciPostPhys.10.3.065⟩. ⟨hal-03108048⟩
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