Homogeneous superstrings with retract $CP^{1|4}
Any complex-analytic supermanifold whose retract is diffeomorphic to the complex projective superline (superstring) $CP^{1|4}$ is, up to a diffeomorphism, either a member of a 1-parameter family or one of 9 exceptional supermanifolds. I singled out the homogeneous of these supermanifolds and describ...
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| Veröffentlicht in: | Communications in Mathematics 2023-01, Vol.30 (2022), Issue 3... |
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| container_title | Communications in Mathematics |
| container_volume | 30 (2022), Issue 3... |
| creator | Bashkin, Mikhail |
| description | Any complex-analytic supermanifold whose retract is diffeomorphic to the complex projective superline (superstring) $CP^{1|4}$ is, up to a diffeomorphism, either a member of a 1-parameter family or one of 9 exceptional supermanifolds. I singled out the homogeneous of these supermanifolds and described Lie superalgebras of vector fields on them. |
| doi_str_mv | 10.46298/cm.9842 |
| format | Article |
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| ispartof | Communications in Mathematics, 2023-01, Vol.30 (2022), Issue 3... |
| issn | 2336-1298 1804-1388 2336-1298 |
| language | eng |
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| source | Alma/SFX Local Collection |
| subjects | Mathematics |
| title | Homogeneous superstrings with retract $CP^{1|4} |
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