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

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Modular weights of wave functions on magnetized torus

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月4日

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  • Tim Jeric,
  • Tatsuo Kobayashi,
  • Hajime Otsuka,
  • Maki Takeuchi,
  • Hikaru Uchida

摘要

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 are 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.