### Resumen

We examine the (2,D-1) WZW model at the subcritical level -(D-3)/2. It has a singular vacuum vector at Virasoro level 2. Its decoupling constitutes an affine extension of the equation of motion of the (D+1)-dimensional conformal particle, i.e. the scalar singleton. The admissible (spectrally flowed) representations contain the singleton and its direct products, consisting of massless and massive particles in AdS_{D}. In D ≤ 4 there exists an extended model containing both scalar and spinor singletons of (4). Its realization in terms of 4 symplectic-real bosons contains the spinor-oscillator constructions of the 4D singletons and their composites. We also comment on the prospects of relating gauged versions of the models to the phase-space quantization of partonic branes and higher-spin gauge theory.

Idioma original | English |
---|---|

Número de artículo | 097 |

Publicación | Journal of High Energy Physics |

Volumen | 2007 |

N.º | 2 |

DOI | |

Estado | Published - 1 feb 2007 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*,

*2007*(2), [097]. https://doi.org/10.1088/1126-6708/2007/02/097

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*Journal of High Energy Physics*, vol. 2007, n.º 2, 097. https://doi.org/10.1088/1126-6708/2007/02/097

**On singleton composites in non-compact WZW models.** / Engquist, Johan; Sundell, Per; Tamassia, Laura.

Resultado de la investigación: Article

TY - JOUR

T1 - On singleton composites in non-compact WZW models

AU - Engquist, Johan

AU - Sundell, Per

AU - Tamassia, Laura

PY - 2007/2/1

Y1 - 2007/2/1

N2 - We examine the (2,D-1) WZW model at the subcritical level -(D-3)/2. It has a singular vacuum vector at Virasoro level 2. Its decoupling constitutes an affine extension of the equation of motion of the (D+1)-dimensional conformal particle, i.e. the scalar singleton. The admissible (spectrally flowed) representations contain the singleton and its direct products, consisting of massless and massive particles in AdSD. In D ≤ 4 there exists an extended model containing both scalar and spinor singletons of (4). Its realization in terms of 4 symplectic-real bosons contains the spinor-oscillator constructions of the 4D singletons and their composites. We also comment on the prospects of relating gauged versions of the models to the phase-space quantization of partonic branes and higher-spin gauge theory.

AB - We examine the (2,D-1) WZW model at the subcritical level -(D-3)/2. It has a singular vacuum vector at Virasoro level 2. Its decoupling constitutes an affine extension of the equation of motion of the (D+1)-dimensional conformal particle, i.e. the scalar singleton. The admissible (spectrally flowed) representations contain the singleton and its direct products, consisting of massless and massive particles in AdSD. In D ≤ 4 there exists an extended model containing both scalar and spinor singletons of (4). Its realization in terms of 4 symplectic-real bosons contains the spinor-oscillator constructions of the 4D singletons and their composites. We also comment on the prospects of relating gauged versions of the models to the phase-space quantization of partonic branes and higher-spin gauge theory.

KW - AdS-CFT correspondence

KW - Conformal field models in string theory

KW - Field theories in lower dimensions

KW - Space-time symmetries

UR - http://www.scopus.com/inward/record.url?scp=33947692216&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2007/02/097

DO - 10.1088/1126-6708/2007/02/097

M3 - Article

VL - 2007

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

M1 - 097

ER -