Connection matrices and Berry phases on the homogeneous spaces $\mathcal{D}^J_1$ and $\mathcal{X}^J_1$ attached to Jacobi groups

Elena Mirela Babalic; Stefan Berceanu

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arXiv · 2609.04843

Connection matrices and Berry phases on the homogeneous spaces $\mathcal{D}^J_1$ and $\mathcal{X}^J_1$ attached to Jacobi groups

Elena Mirela Babalic·Stefan Berceanu

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Abstract

We analyze the relation between connection matrices and Berry phases on the Siegel-Jacobi disk $\mathcal{D}^J_1$ and Siegel-Jacobi upper half-plane $\mathcal{X}^J_1$ and we explicitly compute the connection matrices and the Berry connections on these homogeneous spaces in different coordinates.

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Elena Mirela Babalic, Stefan Berceanu. 2026-09-04. Connection matrices and Berry phases on the homogeneous spaces $\mathcal{D}^J_1$ and $\mathcal{X}^J_1$ attached to Jacobi groups. https://arxiv.org/abs/2609.04843

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