Symmetries versus the spectrum of $ J\bar T$-deformed CFTs
| Autor: | Guica, Monica |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | SciPost Phys. 10, 065 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhys.10.3.065 |
| Popis: | 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. Comment: fixed a minus sign; various minor cosmetic changes; added a brief discussion |
| Databáze: | arXiv |
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