Supersymmetric string configurations in Ad𝕊5 × 𝕊5
Abstract In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad𝕊5 × 𝕊5 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 mini...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2025)018 |
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| Summary: | Abstract In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad𝕊5 × 𝕊5 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 Ad𝕊4 × 𝕊2 slice and observed that the corresponding action functional reduces to an integral of a two-form. |
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| ISSN: | 1029-8479 |