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# N = 1 supersymmetry algebra in 1 + 1 dimensions

In 1 + 1 dimensions the N. [1]

## Algebra over a field

In mathematics, an algebra over a field is a vector space (a module over a field) equipped with a bilinear product.

## Center (algebra)

The term center or centre is used in various contexts in abstract algebra to denote the set of all those elements that commute with all other elements.

## Generator (mathematics)

In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts.

In mathematics, in particular abstract algebra, a graded ring is a ring that is a direct sum of abelian groups R_i such that R_i R_j \subset R_.

## Identity element

In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set.

## Lorentz transformation

In physics, the Lorentz transformation (or transformations) is named after the Dutch physicist Hendrik Lorentz.

## Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

## Sine-Gordon equation

The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function.

## Supercharge

In theoretical physics, a supercharge is a generator of supersymmetry transformations.

## Supersymmetry

Supersymmetry (SUSY), a theory of particle physics, is a proposed type of spacetime symmetry that relates two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin.

## Translation (geometry)

In Euclidean geometry, a translation is a function that moves every point a constant distance in a specified direction.

## (−1)F

In a quantum field theory with fermions, (−1)F is a unitary, Hermitian, involutive operator where F is the fermion number operator and is equal to the sum of the lepton number plus the baryon number, F.

## References

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