Supersymmetric String Configurations in Ad$\mathbb{S}_5\times \mathbb{S}^5$
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913777264361472 |
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| author | Martins, Lucas N. S. |
| author_facet | Martins, Lucas N. S. |
| contents | In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad$\mathbb{S}_5\times \mathbb{S}^5$ background. By extending the Green-Schwarz supersymmetric equations using the pure spinor formalism, we demonstrate that while the solutions to the Green-Schwarz equations are necessarily minimal surfaces, the solutions to the extended equations form infinite-dimensional families, even with fixed boundary conditions, thus preventing direct derivations of exact results via supersymmetric localization. For concreteness, we have selected a supercharge that localizes the off-shell supersymmetric configurations to an Ad$\mathbb{S}_4 \times \mathbb{S}^2$ slice and observed that the corresponding action functional reduces to an integral of a two-form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Supersymmetric String Configurations in Ad$\mathbb{S}_5\times \mathbb{S}^5$ Martins, Lucas N. S. High Energy Physics - Theory In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad$\mathbb{S}_5\times \mathbb{S}^5$ background. By extending the Green-Schwarz supersymmetric equations using the pure spinor formalism, we demonstrate that while the solutions to the Green-Schwarz equations are necessarily minimal surfaces, the solutions to the extended equations form infinite-dimensional families, even with fixed boundary conditions, thus preventing direct derivations of exact results via supersymmetric localization. For concreteness, we have selected a supercharge that localizes the off-shell supersymmetric configurations to an Ad$\mathbb{S}_4 \times \mathbb{S}^2$ slice and observed that the corresponding action functional reduces to an integral of a two-form. |
| title | Supersymmetric String Configurations in Ad$\mathbb{S}_5\times \mathbb{S}^5$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.00211 |