${\cal N}=4$ Supergravity with Local Scaling Symmetry in Four Dimensions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910426006028288 |
|---|---|
| author | Liatsos, Nikolaos |
| author_facet | Liatsos, Nikolaos |
| contents | We construct the most general four-dimensional ${\cal N}=4$ supergravity coupled to an arbitrary number $n$ of vector multiplets in which the global scaling symmetry is gauged, in addition to a subgroup of $\text{SL}(2,\mathbb{R}) \times \text{SO}(6,n)$. The various gaugings are parametrized by an embedding tensor built out of $2 \binom{n+6}{3}+4(n+6)$ parameters that satisfy a specific set of quadratic consistency constraints, to which we provide an explicit solution. We also derive the local supersymmetry transformation rules and the equations of motion for the four-dimensional ${\cal N}=4$ matter-coupled supergravity with local scaling symmetry. Such supergravity theories do not possess an action, since the scaling symmetry is only an on-shell symmetry of the corresponding ungauged theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | ${\cal N}=4$ Supergravity with Local Scaling Symmetry in Four Dimensions Liatsos, Nikolaos High Energy Physics - Theory We construct the most general four-dimensional ${\cal N}=4$ supergravity coupled to an arbitrary number $n$ of vector multiplets in which the global scaling symmetry is gauged, in addition to a subgroup of $\text{SL}(2,\mathbb{R}) \times \text{SO}(6,n)$. The various gaugings are parametrized by an embedding tensor built out of $2 \binom{n+6}{3}+4(n+6)$ parameters that satisfy a specific set of quadratic consistency constraints, to which we provide an explicit solution. We also derive the local supersymmetry transformation rules and the equations of motion for the four-dimensional ${\cal N}=4$ matter-coupled supergravity with local scaling symmetry. Such supergravity theories do not possess an action, since the scaling symmetry is only an on-shell symmetry of the corresponding ungauged theories. |
| title | ${\cal N}=4$ Supergravity with Local Scaling Symmetry in Four Dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.04813 |