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math-ph2024
Einstein metrics on homogeneous superspaces
Yang Zhang, Mark D. Gould, Artem Pulemotov +1
This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces.…
math.RT2024
Unitary branching rules for the general linear Lie superalgebra
Mark Gould, Yang Zhang
In terms of highest weights, we establish branching rules for finite dimensional unitary simple modules of the general linear Lie superalgebra . Our proof uses…