A supersymmetric generalization of quantum chromodynamics
In theoretical physics, super QCD is a supersymmetric gauge theory which resembles quantum chromodynamics (QCD) but contains additional particles and interactions which render it supersymmetric.
The most commonly used version of super QCD is in 4 dimensions and contains one Majorana spinor supercharge. The particle content consists of vector supermultiplets, which include gluons and gluinos and also chiral supermultiplets which contain quarks and squarks transforming in the fundamental representation of the gauge group. This theory has many features in common with real world QCD, for example in some phases it manifests confinement and chiral symmetry breaking. The supersymmetry of this theory means that, unlike QCD, one may use nonrenormalization theorems to analytically demonstrate the existence of these phenomena and even calculate the condensate which breaks the chiral symmetry.
In theoretical physics, superQCD is a supersymmetric gauge theory which resembles quantum chromodynamics (QCD) but contains additional particles and interactions...
Nonrenormalization Field theories Wess–Zumino N = 1 super Yang–Mills N = 4 super Yang–Mills SuperQCD MSSM NMSSM 6D (2,0) superconformal ABJM superconformal...
Wess–Zumino model Supersymmetric Yang–Mills Seiberg–Witten theory SuperQCD (sQCD) N = 4 supersymmetric Yang–Mills theory ABJM superconformal field theory...
generators form together with the Poincaré algebra a superalgebra, called the super-Poincaré algebra, supersymmetry as a gauge theory makes gravity arise in...
pieces and a multiplication operator that respects the grading. The prefix super- comes from the theory of supersymmetry in theoretical physics. Superalgebras...
with grading): Super skew-symmetry: [ x , y ] = − ( − 1 ) | x | | y | [ y , x ] . {\displaystyle [x,y]=-(-1)^{|x||y|}[y,x].\ } The super Jacobi identity:...
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...
supermathematics, wherein large portions of geometry can be generalized to super-equivalents, including much of Riemannian geometry and most of the theory...
to the Lorentz group. Equivalently, the super Minkowski space can be understood as the quotient of the super Poincaré algebra modulo the algebra of the...
states with arbitrarily small energies. Take for example a chiral N = 1 superQCD model with a nonzero squark VEV which is conformal in the IR. The chiral...
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...
supersymmetry algebra is a semidirect sum of a central extension of the super-Poincaré algebra by a compact Lie algebra B of internal symmetries. Bosonic...
It is acted on by the super Poincaré algebra. Abstractly, super Minkowski space is the space of (right) cosets within the Super Poincaré group of Lorentz...
Nonrenormalization Field theories Wess–Zumino N = 1 super Yang–Mills N = 4 super Yang–Mills SuperQCD MSSM NMSSM 6D (2,0) superconformal ABJM superconformal...
least one complex scalar field. N = 1 Super Yang–Mills N = 2 Super Yang–Mills N = 4 Super Yang–Mills SuperQCD MSSM (Minimal supersymmetric Standard Model)...
between them. The strong interactions are described by quantum chromodynamics (QCD), based on "color" SU(3). The weak interactions require the additional feature...
Nonrenormalization Field theories Wess–Zumino N = 1 super Yang–Mills N = 4 super Yang–Mills SuperQCD MSSM NMSSM 6D (2,0) superconformal ABJM superconformal...
Nonrenormalization Field theories Wess–Zumino N = 1 super Yang–Mills N = 4 super Yang–Mills SuperQCD MSSM NMSSM 6D (2,0) superconformal ABJM superconformal...
Global Information