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

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

1996-08-12

arxiv.org/abs/hep-th/9608075v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, TeX, no figures

Scientific paper

The holomorphic homogeneous prepotential encoding the special geometry of the
special K\"ahler 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.

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