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

W. A. Sabra·S. Thomas·N. Vanegas
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Abstract

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.

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W. A. Sabra, S. Thomas, N. Vanegas. 1996-08-12. Symplectic Embeddings, the Prepotentials and Automorphic Functions of $SU(1, n)\over U(1)\otimes SU(n)$. https://arxiv.org/abs/hep-th/9608075

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