Modular weights of wave functions on magnetized torus

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Abstract
A bstract: 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 2 g models. As a result, we construct the wave functions of excited states in magnetized T 2 g models and show that their modular weights are likewise equivalent to the corresponding mass levels.
Funding Information
  • Japan Society for the Promotion of Science (JP23K03375)
  • Japan Society for the Promotion of Science (JP25H01539)
  • Japan Society for the Promotion of Science (JP26K07087)
  • Japan Science and Technology Agency SPRING (JPMJSP2119)
  • Sumitomo Foundation (2502479)

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