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The large-N behavior of the quartic-cubic generalized two dimensional YangMills U(N) on the sphere is investigated, for small cubic couplings. It isshown that single transition at the critical area which is present for thequartic model, is split into two transitions, both of them are third order. thephase diagram of the system for small cubic couplings is obtained.

Phase structure of the quartic-cubic generalized two dimensional Yang Mills U(N) on the sphere