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Connection matrices and Berry phases on the homogeneous spaces 𝒟J1 and 𝒳J1 attached to Jacobi groups
Abstract
We analyze the relation between connection matrices and Berry phases on the Siegel-Jacobi disk 𝒟J1 and Siegel-Jacobi upper half-plane 𝒳J1 and we explicitly compute the connection matrices and the Berry connections on these homogeneous spaces in different coordinates.
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BibTeX
@misc{babalic2026connection,
title = {{Connection matrices and Berry phases on the homogeneous spaces $\mathcalD^J_1$ and $\mathcalX^J_1$ attached to Jacobi groups}},
author = {Elena Mirela Babalic and Stefan Berceanu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04843},
eprint = {2609.04843},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04843},
}
RIS
TY - UNPB
TI - Connection matrices and Berry phases on the homogeneous spaces 𝒟^J_1 and 𝒳^J_1 attached to Jacobi groups
AU - Elena Mirela Babalic
AU - Stefan Berceanu
PY - 2026
DA - 2026/09/04
PB - arXiv
DO - 10.48550/arxiv.2609.04843
UR - https://arxiv.org/abs/2609.04843
AB - We analyze the relation between connection matrices and Berry phases on the Siegel-Jacobi disk 𝒟^J_1 and Siegel-Jacobi upper half-plane 𝒳^J_1 and we explicitly compute the connection matrices and the Berry connections on these homogeneous spaces in different coordinates.
ER -