In mathematics, a super vector space is a Z 2 {\displaystyle \mathbb {Z} _{2}} -graded vector space, that is, a vector space over a field K {\displaystyle...

on the above sorts of vectors. A vector space formed by geometric vectors is called a Euclidean vector space, and a vector space formed by tuples is called...

the intended space. Superspace is also commonly used as a synonym for the super vector space. This is taken to be an ordinary vector space, together with...

{\mathcal {N}}} . The underlying supermanifold of super Minkowski space is isomorphic to a super vector space given by the direct sum of ordinary Minkowski...

{\displaystyle A} is the space of all linear functions E n d ( V ) {\displaystyle \mathbf {End} (V)} of a super vector space V {\displaystyle V} to itself...

{\displaystyle \mathrm {Hom} } , composed of all linear maps) of a super vector space forms a superalgebra under composition. The set of all square supermatrices...

geometric theory produces extra vector fields the D-branes can be included in the action by adding an extra U(1) vector field to the string action. ∂ z...

internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part...

super vector spaces over a (purely even) field K. Supermodules often play a more prominent role in super linear algebra than do super vector spaces....

Julius Wess and Bruno Zumino. The most commonly used supermultiplets are vector multiplets, chiral multiplets (in d = 4 , N = 1 {\displaystyle d=4,{\mathcal...

mathematics known as functional analysis, a reflexive space is a locally convex topological vector space for which the canonical evaluation map from X {\displaystyle...

Abdus Salam and John Strathdee in 1974 as a simplification of the term super-gauge symmetry used by Wess and Zumino, although Zumino also used the same...

super linear algebra where they appear as the coordinate representations of a linear transformations between finite-dimensional super vector spaces or...

This non-relativistic SU ( 6 ) {\displaystyle {\text{SU}}(6)} model united vector and pseudoscalar mesons of different spin into a 35-dimensional multiplet...

translation in the (parameter) space. This superspace is a Z 2 {\displaystyle {\mathbb {Z} _{2}}} -graded vector space W = W 0 ⊕ W 1 {\displaystyle {\mathcal...

Starship is a two-stage fully reusable super heavy-lift launch vehicle under development by American aerospace company SpaceX. On 20 April 2023, with the first...

individual charts use a topology that is considerably coarser than the vector-space topology on the Grassmann algebra. This topology is obtained by projecting...

IIB string theory on AdS5 × S5 space (a product of 5-dimensional AdS space with a 5-dimensional sphere) and N = 4 super Yang–Mills on the 4-dimensional...

is a bosonic abelian vector normal subalgebra of dimension d, normally identified with translations of spacetime. It is a vector representation of L....

In addition, we have a vector bundle T over the manifold with the fiber having four real dimensions and transforming as a vector under Spin(3,1). We have...

field K. Such supermatrices represent linear transformations of a super vector space over K. A particular even supermatrix is a block matrix of the form...

Supersymmetric Yang–Mills 4D N = 1 global supersymmetry Seiberg–Witten theory Super QCD (sQCD) N = 4 supersymmetric Yang–Mills theory ABJM superconformal field...

commonly used version of super QCD is in 4 dimensions and contains one Majorana spinor supercharge. The particle content consists of vector supermultiplets, which...

spaces that are not simply connected. An action for a massive 11D theory can also be acquired by introducing an auxiliary nondynamical Killing vector...

Supergravity Superstring theory Super vector space Supergeometry Supermathematics Superalgebra Lie superalgebra Super-Poincaré algebra Superconformal...

Riesz space, lattice-ordered vector space or vector lattice is a partially ordered vector space where the order structure is a lattice. Riesz spaces are...

Super Heavy is the reusable first stage of the SpaceX Starship super heavy-lift launch vehicle, which it composes in combination with the Starship second...

topological vector space is locally convex if and only if its topology is induced by a family of seminorms. Let X {\displaystyle X} be a vector space over either...

vielbein formalism of general relativity. This replaces the metric by a set of vector fields e a = e a μ ∂ μ {\displaystyle e_{a}=e_{a}^{\mu }\partial _{\mu }}...

{\displaystyle {\mathcal {N}}=2} vector supermultiplet, analogous to the field content of Yang–Mills theory being a single vector gauge field (in particle theory...