The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918468803100672 |
|---|---|
| author | Manzoni, Federico |
| author_facet | Manzoni, Federico |
| contents | This paper studies the asymptotic gauge charges of the Curtright mixed-symmetry rank-3 field $ϕ_{[ρσ]ν}$ in Minkowski spacetime, interpreted in $ D = 5 $ as the dual graviton. In Bondi coordinates at future null infinity, we impose radiation fall-offs and fix a de Donder-like gauge together with an on-shell traceless condition, similarly to what happens in linearized gravity. Surface charges associated with the residual gauge transformations are constructed as boundary integrals via Nöther's 2-form. In $ D = 5 $, exploiting Hodge/Hodge-like decompositions on $ S^{3} $, the charge splits into a scalar sector $ Q_Φ $, a vector sector $ Q_{V} $ and a TT sector $Q_{y^{\text{TT}}}$. $ Q_Φ $ is parametrized by a single arbitrary scalar function $ Φ$ (interpreted as the supertranslation-like parameter), $ Q_{V} $ is parametrized by a vector field $ V^{i} \in \mathfrak{Diff}(S^{3}) $ and the TT sector $Q_{y^{\text{TT}}}$ is parametrized by a trasverse-traceless rank-2 tensor $y_{ij}^{\text{TT}} \in \mathfrak{TT}(S^3)$. The corresponding charge algebra closes only if $V_i \in \mathfrak{o}(4)$ as semidirect sum generating an abelian extension of a $\mathfrak{BMS}$-like algebra featuring a higher-spin-like supertranslation sector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20037 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra Manzoni, Federico High Energy Physics - Theory Mathematical Physics This paper studies the asymptotic gauge charges of the Curtright mixed-symmetry rank-3 field $ϕ_{[ρσ]ν}$ in Minkowski spacetime, interpreted in $ D = 5 $ as the dual graviton. In Bondi coordinates at future null infinity, we impose radiation fall-offs and fix a de Donder-like gauge together with an on-shell traceless condition, similarly to what happens in linearized gravity. Surface charges associated with the residual gauge transformations are constructed as boundary integrals via Nöther's 2-form. In $ D = 5 $, exploiting Hodge/Hodge-like decompositions on $ S^{3} $, the charge splits into a scalar sector $ Q_Φ $, a vector sector $ Q_{V} $ and a TT sector $Q_{y^{\text{TT}}}$. $ Q_Φ $ is parametrized by a single arbitrary scalar function $ Φ$ (interpreted as the supertranslation-like parameter), $ Q_{V} $ is parametrized by a vector field $ V^{i} \in \mathfrak{Diff}(S^{3}) $ and the TT sector $Q_{y^{\text{TT}}}$ is parametrized by a trasverse-traceless rank-2 tensor $y_{ij}^{\text{TT}} \in \mathfrak{TT}(S^3)$. The corresponding charge algebra closes only if $V_i \in \mathfrak{o}(4)$ as semidirect sum generating an abelian extension of a $\mathfrak{BMS}$-like algebra featuring a higher-spin-like supertranslation sector. |
| title | The asymptotic charges of Curtright dual graviton and Curtright extensions of BMS algebra |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2602.20037 |