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arXiv · 2512.18574

Modular weights of wave functions on magnetized torus

Tim Jeric·Tatsuo Kobayashi·Hajime Otsuka·Maki Takeuchi·Hikaru Uchida
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Abstract

We study the origin of modular weights of wave functions in magnetized $T^{2}$ models. It is explicitly demonstrated that the modular weights of the wave functions on magnetized $T^2$ is equivalent to their mass level. We further extend this result to magnetized $T^{2g}$ models. As a result, we construct the wave functions of excited states in magnetized $T^{2g}$ models and show that their modular weights are likewise equivalent to the corresponding mass levels.

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Tim Jeric, Tatsuo Kobayashi, Hajime Otsuka, Maki Takeuchi, Hikaru Uchida. 2025-12-21. Modular weights of wave functions on magnetized torus. https://arxiv.org/abs/2512.18574

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