Symplectic Embeddings, the Prepotentials and Automorphic Functions of $SU(1, n)\over U(1)\otimes SU(n)$

Sabra, W. A.; Thomas, S.; Vanegas, N.

Symplectic Embeddings, the Prepotentials and Automorphic Functions of $SU(1, n)\over U(1)\otimes SU(n)$

Authors

Sabra, W. A.

Thomas, S.

Vanegas, N.

Description

The holomorphic homogeneous prepotential encoding the special geometry of the special Kähler manifolds ${\textstyle SU(1,n)\over \textstyle U(1)\otimes SU(n)}$ is constructed using the symplectic embedding of the isometry group $SU(1,n)$ into $Sp(2n+2,{\hbox{\bf R}})$. Also the automorphic functions of these manifolds are discussed.
11 pages, TeX, no figures