A large-N approach to two-dimensional frustrated ising antiferromagnets with transverse external and exchange fields

A large-N approach is developed to treat the problem of frustrated ising antiferromagnets on two-dimensional lattices-- in particular the triangular and kagom\'e. Quantum dynamics is introduced in this model by either a transverse external field, or an exchange field that may be ferromagnetic or anti- ferromagnetic. Special emphasis is given to the Kagom\'e XXZ model in which disordered phases are found for both ferromagnetic and anti-ferromagnetic transverse exchange.