Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913856677216256 |
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| author | Daniel, Cassiano A. |
| author_facet | Daniel, Cassiano A. |
| contents | By extending the six-dimensional hybrid formalism for the superstring to include $d=6$ $\mathcal{N}=1$ superspace variables along with unconstrained bosonic ghost fields, we construct a manifestly spacetime supersymmetric vertex operator $U$. We demonstrate that the BRST invariance of $U$ implies the $d=6$ $\mathcal{N}=1$ SYM equations of motion in superspace. Furthermore, we show that spacetime supersymmetric scattering amplitudes can be computed in a manner analogous to that of the non-minimal pure spinor formalism. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_06194 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry Daniel, Cassiano A. High Energy Physics - Theory By extending the six-dimensional hybrid formalism for the superstring to include $d=6$ $\mathcal{N}=1$ superspace variables along with unconstrained bosonic ghost fields, we construct a manifestly spacetime supersymmetric vertex operator $U$. We demonstrate that the BRST invariance of $U$ implies the $d=6$ $\mathcal{N}=1$ SYM equations of motion in superspace. Furthermore, we show that spacetime supersymmetric scattering amplitudes can be computed in a manner analogous to that of the non-minimal pure spinor formalism. |
| title | Vertex operators for the superstring with manifest $d=6$ $\mathcal{N}=1$ supersymmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.06194 |