A supersymmetric extension of w 1+∞ algebra in the celestial holography
Abstract We determine the N $$ \mathcal{N} $$ = 1 supersymmetric topological W ∞ 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 = 1 2 $$ \frac{1}{2} $$ ), the N $$ \mathcal{N} $$ = 1 supersymmetric W...
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)081 |
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| author | Changhyun Ahn Man Hea Kim |
| author_facet | Changhyun Ahn Man Hea Kim |
| author_sort | Changhyun Ahn |
| collection | DOAJ |
| description | Abstract We determine the N $$ \mathcal{N} $$ = 1 supersymmetric topological W ∞ 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 = 1 2 $$ \frac{1}{2} $$ ), the N $$ \mathcal{N} $$ = 1 supersymmetric W ∞ 2 $$ {W}_{\frac{\infty }{2}} $$ algebra is obtained. At λ = 1 4 $$ \frac{1}{4} $$ , other N $$ \mathcal{N} $$ = 1 supersymmetric W 1+∞ [λ = 1 4 $$ \frac{1}{4} $$ ] algebra is determined. We also obtain the extension of Lie superalgebra PSU(2, 2| N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 1 supersymmetric W 1+∞ [λ] algebra, in two dimensions with the N $$ \mathcal{N} $$ = 1 supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography. |
| format | Article |
| id | doaj-art-9fe91278665641ea949b4cac21db1952 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9fe91278665641ea949b4cac21db19522025-08-20T02:20:42ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024915010.1007/JHEP09(2024)081A supersymmetric extension of w 1+∞ algebra in the celestial holographyChanghyun Ahn0Man Hea Kim1Department of Physics, Kyungpook National UniversityDepartment of Physics, Kyungpook National UniversityAbstract We determine the N $$ \mathcal{N} $$ = 1 supersymmetric topological W ∞ 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 = 1 2 $$ \frac{1}{2} $$ ), the N $$ \mathcal{N} $$ = 1 supersymmetric W ∞ 2 $$ {W}_{\frac{\infty }{2}} $$ algebra is obtained. At λ = 1 4 $$ \frac{1}{4} $$ , other N $$ \mathcal{N} $$ = 1 supersymmetric W 1+∞ [λ = 1 4 $$ \frac{1}{4} $$ ] algebra is determined. We also obtain the extension of Lie superalgebra PSU(2, 2| N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 1 supersymmetric W 1+∞ [λ] algebra, in two dimensions with the N $$ \mathcal{N} $$ = 1 supergravity theory in four dimensions discovered by Freedman, van Nieuwenhuizen and Ferrara in 1976 and its matter coupled theories, via celestial holography.https://doi.org/10.1007/JHEP09(2024)081Conformal and W SymmetrySupergravity Models |
| spellingShingle | Changhyun Ahn Man Hea Kim A supersymmetric extension of w 1+∞ algebra in the celestial holography Journal of High Energy Physics Conformal and W Symmetry Supergravity Models |
| title | A supersymmetric extension of w 1+∞ algebra in the celestial holography |
| title_full | A supersymmetric extension of w 1+∞ algebra in the celestial holography |
| title_fullStr | A supersymmetric extension of w 1+∞ algebra in the celestial holography |
| title_full_unstemmed | A supersymmetric extension of w 1+∞ algebra in the celestial holography |
| title_short | A supersymmetric extension of w 1+∞ algebra in the celestial holography |
| title_sort | supersymmetric extension of w 1 ∞ algebra in the celestial holography |
| topic | Conformal and W Symmetry Supergravity Models |
| url | https://doi.org/10.1007/JHEP09(2024)081 |
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