Symplectic Embeddings and Special Kahler Geometry of CP(n-1,1)

Details Symplectic Embeddings and Special Kahler Geometry of CP(n-1,1) Symplectic Embeddings and Special Kahler Geometry of CP(n-1,1)

1996-08-15

arxiv.org/abs/hep-th/9608106v1

Nucl.Phys.B486:629-649,1997

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, TeX, no figures

Scientific paper

10.1016/S0550-3213(96)00697-9

The embedding of the isometry group of the coset spaces SU(1,n)/ U(1)xSU(n) in Sp(2n+2,R) is discussed. The knowledge of such embedding provides a tool for the determination of the holomorphic prepotential characterizing the special geometry of these manifolds and necessary in the superconformal tensor calculus of N=2 supergravity. It is demonstrated that there exists certain embeddings for which the homogeneous prepotential does not exist. Whether a holomorphic function exists or not, the dependence of the gauge kinetic terms on the scalars characterizing these coset in N=2 supergravity theory can be determined from the knowledge of the corresponding embedding, \`a la Gaillard and Zumino. Our results are used to study some of the duality symmetries of heterotic compactifications of orbifolds with Wilson lines.

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