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Dualisation of supergravity theories

Yılmaz, Nejat Tevfik
By using the Kaluza-Klein reduction, the derivation of the maximal supergravities from the D=11 supergravity theory, as well as the Abelian Yang-Mills supergravities from the D=10 type I supergravity theory are discussed. After a thorough review of the symmetric spaces the symmetric space sigma model is studied in detail. The first-order formulation of both the pure and the matter coupled symmetric space sigma model is presented in a general formalism. The dualisation of the non-gravitational Bosonic sectors of the D=11, IIB and the maximal supergravities are also reviewed in a concise but a self-contained formulation. As an example of the dualisation of the matter coupled supergravities, the doubled formalism is constructed for the D=8 Salam-Sezgin supergravity.