Homogeneous superstrings with retract $CP^{1|4}$ - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematics Année : 2023

Homogeneous superstrings with retract $CP^{1|4}$

Résumé

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.
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Dates et versions

hal-03726583 , version 1 (18-07-2022)
hal-03726583 , version 2 (04-01-2023)

Identifiants

Citer

Mikhail Bashkin. Homogeneous superstrings with retract $CP^{1|4}$. Communications in Mathematics, In press, Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik), ⟨10.46298/cm.9842⟩. ⟨hal-03726583v2⟩
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