Symmetries versus the spectrum of $ J\bar T$-deformed CFTs
| Autor: | Monica Guica |
|---|---|
| Přispěvatelé: | Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Computer Science::Machine Learning cylinder Bar (music) QC1-999 FOS: Physical sciences General Physics and Astronomy Computer Science::Digital Libraries 01 natural sciences symmetry: algebra energy dependence Statistics::Machine Learning 0103 physical sciences charge: conservation law 010306 general physics Mathematical physics Physics field theory: conformal flow: spectral 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Spectrum (functional analysis) Hilbert space deformation momentum: operator Gauge (firearms) Symmetry (physics) High Energy Physics - Theory (hep-th) finite size Homogeneous space Computer Science::Mathematical Software quantization transformation: gauge |
| Zdroj: | SciPost Physics SciPost Physics, 2021, 10 (3), pp.065. ⟨10.21468/SciPostPhys.10.3.065⟩ SciPost Physics, SciPost Foundation, 2021, 10 (3), pp.065. ⟨10.21468/SciPostPhys.10.3.065⟩ SciPost Physics, Vol 10, Iss 3, p 065 (2021) |
| ISSN: | 2542-4653 |
| 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: | OpenAIRE |
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