Continuous spin superparticle model
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911083325816832 |
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| author | Buchbinder, I. L. Fedoruk, S. A. |
| author_facet | Buchbinder, I. L. Fedoruk, S. A. |
| contents | We construct a new model of a particle propagating in $4D$, ${\cal N}=1$ superspace that describes the dynamics of a continuous spin irreducible representation of the Poincaré supergroup. The model is characterized by two-component Weyl spinor additional even variables playing the role of extra coordinates. A canonical formulation, specific local fermionic $κ$-symmetry, and a compete system of bosonic and fermionic constraints are derived. All bosonic constrains are first-class, while fermionic constraints are a mixture of first and second classes. Using additional variables inherent in to the model, we split the fermionic constraints into first and second classes in a covariant way. Quantization of the model is carried out according to Dirac prescription imposing all the first-class constraints and half of the second-class constraints (Gupta-Bleuler procedure) on the wave function. At quantization, the fermionic constraints are written in terms of spinor supercovariant derivatives acting on superfields. The corresponding wave function, which is either a chiral or antichiral superfield, depends on additional variables and obeys the superfield constraints that define the continuous spin irreducible representation of the Poincaré supergroup in the superspace. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19709 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continuous spin superparticle model Buchbinder, I. L. Fedoruk, S. A. High Energy Physics - Theory We construct a new model of a particle propagating in $4D$, ${\cal N}=1$ superspace that describes the dynamics of a continuous spin irreducible representation of the Poincaré supergroup. The model is characterized by two-component Weyl spinor additional even variables playing the role of extra coordinates. A canonical formulation, specific local fermionic $κ$-symmetry, and a compete system of bosonic and fermionic constraints are derived. All bosonic constrains are first-class, while fermionic constraints are a mixture of first and second classes. Using additional variables inherent in to the model, we split the fermionic constraints into first and second classes in a covariant way. Quantization of the model is carried out according to Dirac prescription imposing all the first-class constraints and half of the second-class constraints (Gupta-Bleuler procedure) on the wave function. At quantization, the fermionic constraints are written in terms of spinor supercovariant derivatives acting on superfields. The corresponding wave function, which is either a chiral or antichiral superfield, depends on additional variables and obeys the superfield constraints that define the continuous spin irreducible representation of the Poincaré supergroup in the superspace. |
| title | Continuous spin superparticle model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.19709 |