A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory
Abstract By using the K-free complex bosons and the K-free complex fermions, we construct the $$\mathcal {N}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra which is the matrix generalization of previous $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }$$ W ∞ alg...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10582-9 |
| _version_ | 1811287321694175232 |
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| author | Changhyun Ahn |
| author_facet | Changhyun Ahn |
| author_sort | Changhyun Ahn |
| collection | DOAJ |
| description | Abstract By using the K-free complex bosons and the K-free complex fermions, we construct the $$\mathcal {N}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra which is the matrix generalization of previous $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }$$ W ∞ algebra. By twisting this $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra, we obtain the $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric $$W_{\infty }^{K}$$ W ∞ K algebra which is the matrix generalization of known $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric topological $$W_{\infty }$$ W ∞ algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft graviton and gravitino (as a first example), at nonzero deformation parameter, in the supersymmetric Einstein–Yang–Mills theory explicitly. Other six OPEs between the graviton, gravitino, gluon and gluino can be determined completely. At vanishing deformation parameter, we reproduce the known result of Fotopoulos, Stieberger, Taylor and Zhu on the above OPEs via celestial holography. |
| first_indexed | 2024-04-13T03:15:25Z |
| format | Article |
| id | doaj.art-8c83b8d8624b47c9840dab641470f22e |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T03:15:25Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-8c83b8d8624b47c9840dab641470f22e2022-12-22T03:04:55ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-07-0182712810.1140/epjc/s10052-022-10582-9A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theoryChanghyun Ahn0Department of Physics, Kyungpook National UniversityAbstract By using the K-free complex bosons and the K-free complex fermions, we construct the $$\mathcal {N}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra which is the matrix generalization of previous $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }$$ W ∞ algebra. By twisting this $${{\mathcal {N}}}\,{=}\,2$$ N = 2 supersymmetric $$W_{\infty }^{K,K}$$ W ∞ K , K algebra, we obtain the $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric $$W_{\infty }^{K}$$ W ∞ K algebra which is the matrix generalization of known $${{\mathcal {N}}}\,{=}\,1$$ N = 1 supersymmetric topological $$W_{\infty }$$ W ∞ algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft graviton and gravitino (as a first example), at nonzero deformation parameter, in the supersymmetric Einstein–Yang–Mills theory explicitly. Other six OPEs between the graviton, gravitino, gluon and gluino can be determined completely. At vanishing deformation parameter, we reproduce the known result of Fotopoulos, Stieberger, Taylor and Zhu on the above OPEs via celestial holography.https://doi.org/10.1140/epjc/s10052-022-10582-9 |
| spellingShingle | Changhyun Ahn A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory European Physical Journal C: Particles and Fields |
| title | A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory |
| title_full | A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory |
| title_fullStr | A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory |
| title_full_unstemmed | A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory |
| title_short | A deformed supersymmetric $$w_{1+\infty }$$ w 1 + ∞ symmetry in the celestial conformal field theory |
| title_sort | deformed supersymmetric w 1 infty w 1 ∞ symmetry in the celestial conformal field theory |
| url | https://doi.org/10.1140/epjc/s10052-022-10582-9 |
| work_keys_str_mv | AT changhyunahn adeformedsupersymmetricw1inftyw1symmetryinthecelestialconformalfieldtheory AT changhyunahn deformedsupersymmetricw1inftyw1symmetryinthecelestialconformalfieldtheory |