## Mikhail Bashkin - Homogeneous superstrings with retract $CP^{1|4}$

cm:9842 - Communications in Mathematics, January 16, 2023, Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik) - https://doi.org/10.46298/cm.9842
Homogeneous superstrings with retract $CP^{1|4}$

Authors: Mikhail Bashkin

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.

Volume: Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
Published on: January 16, 2023
Accepted on: November 16, 2022
Submitted on: July 27, 2022
Keywords: Homogeneous supermanifold,split supermanifold,superstring,[MATH]Mathematics [math]