- 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...
-
determinant when
considering coordinate changes for
integration on a
supermanifold. The
Berezinian is
uniquely determined by two
defining properties: Ber...
- 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...
-
supergeometry where they
enter into the
definitions of
graded manifolds,
supermanifolds and superschemes. Let K be a
commutative ring. In most applications...
- of
Minkowski space,
sometimes used as the base
manifold (or rather,
supermanifold) for superfields. It is
acted on by the
super Poincaré algebra. Abstractly...
-
analog of
Euclidean space is superspace, the
analog of a
manifold is a
supermanifold, the
analog of a Lie
algebra is a Lie
superalgebra and so on. The Gr****mann...
