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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54689The 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 figuresHigh Energy Physics - TheorySymplectic Embeddings, the Prepotentials and Automorphic Functions of $SU(1, n)\over U(1)\otimes SU(n)$text