A Supersymmetric Extension of $w_{1+\infty}$ Algebra in the Celestial Holography
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914933646557184 |
|---|---|
| author | Ahn, Changhyun Kim, Man Hea |
| author_facet | Ahn, Changhyun Kim, Man Hea |
| contents | We determine the ${\cal N}=1$ supersymmetric topological $W_{\infty} $ algebra by using the $λ$ deformed bosons $(β,γ)$ and fermions $(b,c)$ ghost system. By considering the real bosons and the real fermions at $λ=0$ (or $λ=\frac{1}{2}$), the ${\cal N}=1$ supersymmetric $W_{\frac{\infty}{2}}$ algebra is obtained. At $λ=\frac{1}{4}$, other ${\cal N}=1$ supersymmetric $W_{1+\infty}[λ=\frac{1}{4}]$ algebra is determined. We also obtain the extension of Lie superalgebra $PSU(2,2|{\cal N}=4)$ appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to ${\cal N}=1$ supersymmetric $W_{1+\infty}[λ]$ algebra, in two dimensions with the ${\cal N}=1$ supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05601 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Supersymmetric Extension of $w_{1+\infty}$ Algebra in the Celestial Holography Ahn, Changhyun Kim, Man Hea High Energy Physics - Theory We determine the ${\cal N}=1$ supersymmetric topological $W_{\infty} $ algebra by using the $λ$ deformed bosons $(β,γ)$ and fermions $(b,c)$ ghost system. By considering the real bosons and the real fermions at $λ=0$ (or $λ=\frac{1}{2}$), the ${\cal N}=1$ supersymmetric $W_{\frac{\infty}{2}}$ algebra is obtained. At $λ=\frac{1}{4}$, other ${\cal N}=1$ supersymmetric $W_{1+\infty}[λ=\frac{1}{4}]$ algebra is determined. We also obtain the extension of Lie superalgebra $PSU(2,2|{\cal N}=4)$ appearing in the worldsheet theory by using the symplectic bosons and the fermions. We identify the soft current algebra between the graviton, the gravitino, the photon (the gluon), the photino (the gluino) or the scalars, equivalent to ${\cal N}=1$ supersymmetric $W_{1+\infty}[λ]$ algebra, in two dimensions with the ${\cal N}=1$ supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography. |
| title | A Supersymmetric Extension of $w_{1+\infty}$ Algebra in the Celestial Holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.05601 |