Supergravity theory from ten dimensions

Several ten-dimensional field theories intimately associated with superstring theories are studied, and possibilities for obtaining realistic four-dimensional theories from them are discussed. The N = 2b supergravity is followed ten to five, then to four dimensions. First of all, compact ions to five dimensions on various manifolds are studied. Then the entire mass spectrum for the compaction on S5 is derived using techniques of harmonic analysis on spheres. Finally candidates for effective low-energy theories for N = 1 superstrings with gauge group SO(32) or E8 x E8 are introduced. These effective theories contain curvature squared terms, and require unusual gravitational interactions to cancel anomalies. The field equations are derived and found to admit to flat four dimensional spacetime, with the possibility of accommodating many phenomenological considerations