On square-zero elements in the IIB supersymmetry algebra
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911255441178624 |
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| author | Hahner, Fabian |
| author_facet | Hahner, Fabian |
| contents | We describe the variety of square-zero elements in the (2,0) super Poincaré algebra in ten dimensions, together with its orbit stratification induced by the action of the spin group and R-symmetry. This provides a classification of all possible twisting supercharges of type IIB supergravity in a flat background. Compared to other varieties of square-zero elements in super Poincaré algebras, we find that the orbit structure is more involved and exhibits several novel features. Among other things, we show that there are two distinct orbits of holomorphic twisting supercharges and a number of mixed topological-holomorphic twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On square-zero elements in the IIB supersymmetry algebra Hahner, Fabian Mathematical Physics High Energy Physics - Theory Algebraic Geometry We describe the variety of square-zero elements in the (2,0) super Poincaré algebra in ten dimensions, together with its orbit stratification induced by the action of the spin group and R-symmetry. This provides a classification of all possible twisting supercharges of type IIB supergravity in a flat background. Compared to other varieties of square-zero elements in super Poincaré algebras, we find that the orbit structure is more involved and exhibits several novel features. Among other things, we show that there are two distinct orbits of holomorphic twisting supercharges and a number of mixed topological-holomorphic twists. |
| title | On square-zero elements in the IIB supersymmetry algebra |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2511.05659 |