Modular symmetry by orbifolding magnetized T2 × T2: realization of double cover of ΓN
Modular symmetry by orbifolding magnetized T2 × T2: realization of double cover of ΓN
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DOI：
10.1007/jhep11(2020)101
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发表时间：
2020-11
影响因子：
5.4
通讯作者：
S. Kikuchi;Tatsuo C. Kobayashi;Hajime Otsuka;S. Takada;Hikaru Uchida
中科院分区：
文献类型：
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作者：
S. Kikuchi;Tatsuo C. Kobayashi;Hajime Otsuka;S. Takada;Hikaru Uchida
我们研究了具有磁通量M1、M2的零模和Orbilold紧致化的模对称性，其中确定了模参数.这个证明打破了SL(2，ℤ)1×SL(2，ℤ)2到SL(2，ℤ)≡Γ)的模对称性。Γ(N)上的每个波函数都表现为主同余子群Γ(N)的权为1的模形式，N是M1和M2的最小公倍数的2倍。然后，零模在模对称下相互变换为ΓN的双覆盖群的乘子，如S 4的双覆盖。
We study the modular symmetry of zero-modes onand orbifold compactifications with magnetic fluxes, M 1, M 2, where modulus parameters are identified. This identification breaks the modular symmetry of, SL (2, ℤ) 1× SL (2, ℤ) 2 to SL (2, ℤ)≡ Γ. Each of the wavefunctions onand orbifolds behaves as the modular forms of weight 1 for the principal congruence subgroup Γ (N), N being 2 times the least common multiple of M 1 and M 2. Then, zero-modes transform each other under the modular symmetry as multiplets of double covering groups of Γ N such as the double cover of S 4.