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  2. Supersymmetric gauge theory - Wikipedia

    en.wikipedia.org/wiki/Supersymmetric_gauge_theory

    A local symmetry is a symmetry which is position dependent. Gauge symmetry is an example of a local symmetry, with the symmetry described by a Lie group (which mathematically describe continuous symmetries), which in the context of gauge theory is called the gauge group of the theory.

  3. N = 4 supersymmetric Yang–Mills theory - Wikipedia

    en.wikipedia.org/wiki/N_=_4_supersymmetric_Yang...

    The components of the gauge field for i = 4 to 9 become scalars upon eliminating the extra dimensions. This also gives an interpretation of the SO(6) R-symmetry as rotations in the extra compact dimensions. By compactification on a T 6, all the supercharges are preserved, giving N = 4 in the 4-dimensional theory.

  4. Super QCD - Wikipedia

    en.wikipedia.org/wiki/Super_QCD

    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.

  5. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    Therefore, the global Poincaré symmetry, consisting of translational symmetry, rotational symmetry and the inertial reference frame invariance central to the theory of special relativity must apply. The local SU(3) × SU(2) × U(1) gauge symmetry is the internal symmetry .

  6. Introduction to gauge theory - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_gauge_theory

    A gauge theory is a type of theory in physics.The word gauge means a measurement, a thickness, an in-between distance (as in railroad tracks), or a resulting number of units per certain parameter (a number of loops in an inch of fabric or a number of lead balls in a pound of ammunition). [1]

  7. N = 1 supersymmetric Yang–Mills theory - Wikipedia

    en.wikipedia.org/wiki/N_=_1_supersymmetric_Yang...

    In theoretical physics, more specifically in quantum field theory and supersymmetry, supersymmetric Yang–Mills, also known as super Yang–Mills and abbreviated to SYM, is a supersymmetric generalization of Yang–Mills theory, which is a gauge theory that plays an important part in the mathematical formulation of forces in particle physics.

  8. Seiberg duality - Wikipedia

    en.wikipedia.org/wiki/Seiberg_duality

    Seiberg duality is an equivalence of the IR fixed points in an N=1 theory with SU(N c) as the gauge group and N f flavors of fundamental chiral multiplets and N f flavors of antifundamental chiral multiplets in the chiral limit (no bare masses) and an N=1 chiral QCD with N f-N c colors and N f flavors, where N c and N f are positive integers satisfying

  9. Gauge group (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Gauge_group_(mathematics)

    A gauge group is a group of gauge symmetries of the Yang–Mills gauge theory of principal connections on a principal bundle. Given a principal bundle P → X {\displaystyle P\to X} with a structure Lie group G {\displaystyle G} , a gauge group is defined to be a group of its vertical automorphisms.