Definition of Supermanifold. Meaning of Supermanifold. Synonyms of Supermanifold

- In physics and mathematics, supermanifolds are generalizations of the manifold concept based on ideas coming from supersymmetry. Several definitions are...
- In differential geometry a Poisson supermanifold is a differential supermanifold M such that the supercommutative algebra of smooth functions over it...
- starting point for classification. More formally, a Lie supergroup is a supermanifold G together with a multiplication morphism μ : G × G → G {\displaystyle...
- supergeometry where they enter into the definitions of graded manifolds, supermanifolds and superschemes. Let K be a commutative ring. In most applications...
- y, turns A {\displaystyle A} into a Poisson superalgebra. Poisson supermanifold Y. Kosmann-Schwarzbach (2001) [1994], "Poisson algebra", Encyclopedia...
- version to another. In 4D N=1 SUGRA, we have a 4|4 real differentiable supermanifold M, i.e. we have 4 real bosonic dimensions and 4 real fermionic dimensions...
- DeWitt. A third usage of the term "superspace" is as a synonym for a supermanifold: a supersymmetric generalization of a manifold. Note that both super...
- determinant when considering coordinate changes for integration on a supermanifold. The Berezinian is uniquely determined by two defining properties: Ber...
- differential geometry of modules over graded commutative algebras, supermanifolds and graded manifolds. Supergeometry is part and parcel of many classical...
- algebra Supergroup Superspace Harmonic superspace Super Minkowski space Supermanifold Concepts Supercharge R-symmetry Supermultiplet Short supermultiplet...