  We study intersecting D-brane models, that describe at low energies a two
dimensional chiral fermion theory localized at the intersection. The fermions
are coupled to gauge fields in the bulk. The resulting low energy theory is
equivalent to the Gross-Neveu model with dynamical chiral symmetry breaking. No
Nambu-Goldstone boson associated with spontaneously broken symmetries appears
in two dimensional field theories. In the present work we discuss solvable
models with the same basic dynamics of the dual Gross-Neveu model. The
disappearance of the Nambu-Goldstone boson is obtained from D-brane dynamics.
The mechanism relies on the non-trivial dynamics of a gauge field due to
anomaly inflow.
