We construct a D2-D8-D8Λ configuration in string theory, it can be
described at low energy by two dimensional field theory. In the weak coupling
region, the low energy theory is a nonlocal generalization of Gross-Neveu(GN)
model which dynamically breaks the chiral flavor symmetry U(Nfβ)LβΓU(Nfβ)Rβ at large Ncβ and finite Nfβ. However, in the strong coupling
region, we can use the SUGRA/Born-Infeld approximation to describe the low
energy dynamics of the system. Also, we analyze the low energy dynamics about
the configuration of wrapping the one direction of D2 brane on a circle with
anti-periodic boundary condition of fermions. The fermions and scalars on D2
branes get mass and decouple from the low energy theory. The IR dynamics is
described by the QCD2β at weak coupling. In the opposite region, the dynamics
has a holographic dual description. And we have discussed the phase transition
of chiral symmetry breaking at finite temperature. Finally, after performing
T-duality, this configuration is related to some other brane configurations.Comment: 30 pages, 3 figures, minor change