On Lagrangian formulations for (ir)reducible mixed-antisymmetric higher integer spin fields in Minkowski spaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915795276136448 |
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| author | Reshetnyak, Alexander A. Bogdanova, Julia V. Pandey, Vipul K. |
| author_facet | Reshetnyak, Alexander A. Bogdanova, Julia V. Pandey, Vipul K. |
| contents | We extend the results of Lagrangian formulations study to construct gauge-invariant Lagrangians for (ir)reducible integer higher-spin massless and massive representations of the Poincare group with a Young tableau $Y[\hat{s}_1,\hat{s}_2,\hat{s}_3]$ in $d$-dimensional flat space-time (as the probable candidates to describe the Dark Matter problem beyond the SM). These particles are described within a metric-like formulation by tensor fields with 3 groups of antisymmetric Lorentz indices $Φ_{μ^1[{\hat{s}_1}],μ^2[{\hat{s}_2}], μ^3[{\hat{s}_3}]}$ on a basis of the
BRST method with complete, $Q$, and incomplete, $Q_c$, BRST operators. We found unconstrained (with $Q$) and constrained (with $Q_c$ and off-shell BRST invariant holonomic constraints) gauge Lagrangian formulations with different configuration spaces and reducibility stages. The deformation procedure to construct interacting gauge model with mixed-antisymmetric fields is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09490 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Lagrangian formulations for (ir)reducible mixed-antisymmetric higher integer spin fields in Minkowski spaces Reshetnyak, Alexander A. Bogdanova, Julia V. Pandey, Vipul K. High Energy Physics - Theory Mathematical Physics Dynamical Systems Representation Theory 81T11 70S05 70S20 G.0 We extend the results of Lagrangian formulations study to construct gauge-invariant Lagrangians for (ir)reducible integer higher-spin massless and massive representations of the Poincare group with a Young tableau $Y[\hat{s}_1,\hat{s}_2,\hat{s}_3]$ in $d$-dimensional flat space-time (as the probable candidates to describe the Dark Matter problem beyond the SM). These particles are described within a metric-like formulation by tensor fields with 3 groups of antisymmetric Lorentz indices $Φ_{μ^1[{\hat{s}_1}],μ^2[{\hat{s}_2}], μ^3[{\hat{s}_3}]}$ on a basis of the BRST method with complete, $Q$, and incomplete, $Q_c$, BRST operators. We found unconstrained (with $Q$) and constrained (with $Q_c$ and off-shell BRST invariant holonomic constraints) gauge Lagrangian formulations with different configuration spaces and reducibility stages. The deformation procedure to construct interacting gauge model with mixed-antisymmetric fields is proposed. |
| title | On Lagrangian formulations for (ir)reducible mixed-antisymmetric higher integer spin fields in Minkowski spaces |
| topic | High Energy Physics - Theory Mathematical Physics Dynamical Systems Representation Theory 81T11 70S05 70S20 G.0 |
| url | https://arxiv.org/abs/2509.09490 |