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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]
The first relation between supersymmetry and stochastic dynamics was established in two papers in 1979 and 1982 by Giorgio Parisi and Nicolas Sourlas, [6] [1] where Langevin SDEs -- SDEs with linear phase spaces, gradient flow vector fields, and additive noises -- were given supersymmetric representation with the help of the BRST gauge fixing ...
In supersymmetry, 4D = global supersymmetry is the theory of global supersymmetry in four dimensions with a single supercharge.It consists of an arbitrary number of chiral and vector supermultiplets whose possible interactions are strongly constrained by supersymmetry, with the theory primarily fixed by three functions: the Kähler potential, the superpotential, and the gauge kinetic matrix.
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.
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 ...
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]
Pages in category "Supersymmetry" The following 47 pages are in this category, out of 47 total. This list may not reflect recent changes. ...