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- W3080773068 abstract "We study the zero mode solutions of a Dirac operator on a magnetized Riemann surface of higher genus. In this paper, we define a Riemann surface of higher genus as a quotient manifold of the Poincar$acute{text{e}}$ upper half-plane by a congruence subgroup, especially $Gamma_{0}(N)$. We present a method to construct basis of cusp forms since the zero mode solutions should be cusp forms. To confirm our method, we select a congruence subgroup of semiprime level and show the demonstration to some lower weights. In addition, we discuss Yukawa couplings and matrix regularization as applications." @default.
- W3080773068 created "2020-09-01" @default.
- W3080773068 creator A5026749626 @default.
- W3080773068 date "2020-08-26" @default.
- W3080773068 modified "2023-09-23" @default.
- W3080773068 title "Magnetized Riemann Surface of Higher Genus and Eta Quotients of Semiprime Level" @default.
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- W3080773068 hasPublicationYear "2020" @default.
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