  According to the AdS/CFT correspondence, the ${\cal N}=4$ supersymmetric
Yang-Mills (SYM) theory has been studied by solving the dual supergravity. In
solving the bulk Einstein equation, we find that it could be related to the 4D
Friedmann equation, which is solved by using the cosmological constant and the
energy density of the matters on the boundary, and they are dynamically
decoupled from the SYM theory. We call this combination of the bulk Einstein
equations and the 4D Friedmann equation as holographic Friedmann equations
(HFE). Solving the HFE, it is shown how the 4D decoupled matters and the
cosmological constant control the dynamical properties of the SYM theory, quark
confinement, chiral symmetry breaking, and baryon stability. From their effect
on the SYM, the matters are separated to two groups. Our results would give
important information in studying the cosmological development of our universe.

High Energy Physics - Theory