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We study the dimensional reduction of five dimensional N=2Yang-Mills-Einstein supergravity theories (YMESGT) coupled to tensormultiplets. The resulting 4D theories involve first order interactions amongtensor and vector fields with mass terms. If the 5D gauge group, K, does notmix the 5D tensor and vector fields, the 4D tensor fields can be integrated outin favor of 4D vector fields and the resulting theory is dual to a standard 4DYMESGT. The gauge group has a block diagonal symplectic embedding and is asemi-direct product of the 5D gauge group K with a Heisenberg group ofdimension (2P+1), where 2P is the number of tensor fields in five dimensions.There exists an infinite family of theories, thus obtained, whose gauge groupsare pp-wave contractions of the simple noncompact groups of type SO*(2M). If,on the other hand, the 5D gauge group does mix the 5D tensor and vector fields,the resulting 4D theory is dual to a 4D YMESGT whose gauge group does, ingeneral,NOT have a block diagonal symplectic embedding and involves additionaltopological terms. The scalar potentials of the dimensionally reduced theoriesnaturally have some of the ingredients that were found necessary for stable deSitter ground states. We comment on the relation between the known 5D and 4D,N=2 supergravities with stable de Sitter ground states.Comment: 42 pages;latex fil

The R-map and the coupling of Script N = 2 tensor multiplets in 5 and 4 dimensions