# Nilpotence Varieties

@article{Eager2018NilpotenceV,
title={Nilpotence Varieties},
author={Richard Eager and Ingmar Saberi and Johannes Walcher},
journal={Annales Henri Poincar{\'e}},
year={2018},
volume={22},
pages={1319-1376}
}
• Published 10 July 2018
• Mathematics
• Annales Henri Poincaré
We consider algebraic varieties canonically associated with any Lie superalgebra, and study them in detail for super-Poincaré algebras of physical interest. They are the locus of nilpotent elements in (the projectivized parity reversal of) the odd part of the algebra. Most of these varieties have appeared in various guises in previous literature, but we study them systematically here, from a new perspective: As the natural moduli spaces parameterizing twists of a super-Poincaré-invariant…
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