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Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin and particles with half-integer spin ().It proposes that for every known particle, there exists a partner particle with different spin properties. [1]
In D=4 spacetime dimensions, N=4 is the maximal number of supersymmetries or supersymmetry charges. [1] SYM theory is a toy theory based on Yang–Mills theory; it does not model the real world, but it is useful because it can act as a proving ground for approaches for attacking problems in more complex theories. [2]
To make progress on these problems, physicists developed supersymmetric quantum mechanics, an application of the supersymmetry superalgebra to quantum mechanics as opposed to quantum field theory. It was hoped that studying SUSY's consequences in this simpler setting would lead to new understanding; remarkably, the effort created new areas of ...
The treatment in this article largely follows that of Figueroa-O'Farrill's lectures on supersymmetry [2] and of Tong. [ 3 ] While N = 4 supersymmetric Yang–Mills theory is also a supersymmetric Yang–Mills theory, it has very different properties to N = 1 {\displaystyle {\mathcal {N}}=1} supersymmetric Yang–Mills theory, which is the ...
The motivation for a supersymmetric version of gauge theory can be the fact that gauge invariance is consistent with supersymmetry. The first examples were discovered by Bruno Zumino and Sergio Ferrara, and independently by Abdus Salam and James Strathdee in 1974.
The Haag–Łopuszański–Sohnius theorem was originally derived in four dimensions, however the result that supersymmetry is the only nontrivial extension to spacetime symmetries holds in all dimensions greater than two. The form of the supersymmetry algebra however changes.
Superspace is the coordinate space of a theory exhibiting supersymmetry.In such a formulation, along with ordinary space dimensions x, y, z, ..., there are also "anticommuting" dimensions whose coordinates are labeled in Grassmann numbers rather than real numbers.
Concise Encyclopedia of Supersymmetry and Noncommutative Structures in Mathematics and Physics is a fundamental authoritative text in specialized areas of contemporary mathematics and physics. This is an English language reference work which consists of around 800 original articles by around 280 scientists under the guidance of 23 advisory ...