Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2501.11471 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911032786550784 |
|---|---|
| author | Ahn, Changhyun Kim, Man Hea |
| author_facet | Ahn, Changhyun Kim, Man Hea |
| contents | We determine the ${\cal N}=4$ supersymmetric $W_{1+\infty}^{2,2}[λ=\frac{1}{4}]$ algebra which is an extension of ${\cal N}=4$ $SO(4)$ superconformal algebra with vanishing central charge. We identify the soft current algebra between the graviton, the gravitinos, the vectors, the Majorana fermions, the scalar or the pseudoscalar, from the ${\cal N}=4$ supersymmetric $w_{1+\infty}^{2,2}[λ=\frac{1}{4}]$ algebra, in two dimensions with the ${\cal N}=4$ supergravity theory with $SO(4)$ global symmetry in four dimensions found by Das (at Stony Brook in 1977), via celestial holography. Furthermore, the truncations of ${\cal N}=4$ supersymmetric soft current algebra provide the soft current algebras for the ${\cal N}=2,3$ supergravity theories, the ${\cal N}=2$ supergravity coupled to its Abelian vector multiplet and the ${\cal N}=1$ supersymmetric Maxwell Einstein theory. For the ${\cal N}=2$ supergravity theory, the soft current algebra can be also realized from the ${\cal N}=2$ supersymmetric $w_{1+\infty}^{K,K}[λ=0]$ algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11471 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography Ahn, Changhyun Kim, Man Hea High Energy Physics - Theory We determine the ${\cal N}=4$ supersymmetric $W_{1+\infty}^{2,2}[λ=\frac{1}{4}]$ algebra which is an extension of ${\cal N}=4$ $SO(4)$ superconformal algebra with vanishing central charge. We identify the soft current algebra between the graviton, the gravitinos, the vectors, the Majorana fermions, the scalar or the pseudoscalar, from the ${\cal N}=4$ supersymmetric $w_{1+\infty}^{2,2}[λ=\frac{1}{4}]$ algebra, in two dimensions with the ${\cal N}=4$ supergravity theory with $SO(4)$ global symmetry in four dimensions found by Das (at Stony Brook in 1977), via celestial holography. Furthermore, the truncations of ${\cal N}=4$ supersymmetric soft current algebra provide the soft current algebras for the ${\cal N}=2,3$ supergravity theories, the ${\cal N}=2$ supergravity coupled to its Abelian vector multiplet and the ${\cal N}=1$ supersymmetric Maxwell Einstein theory. For the ${\cal N}=2$ supergravity theory, the soft current algebra can be also realized from the ${\cal N}=2$ supersymmetric $w_{1+\infty}^{K,K}[λ=0]$ algebra. |
| title | A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.11471 |