TY - JOUR
T1 - Modular symmetry by orbifolding magnetized T 2 × T 2
T2 - realization of double cover of Γ N
AU - Kikuchi, Shota
AU - Kobayashi, Tatsuo
AU - Otsuka, Hajime
AU - Takada, Shintaro
AU - Uchida, Hikaru
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/11
Y1 - 2020/11
N2 - We study the modular symmetry of zero-modes on T12×T22 and orbifold compactifications with magnetic fluxes, M1, M2, where modulus parameters are identified. This identification breaks the modular symmetry of T12×T22, SL(2, ℤ)1× SL(2, ℤ)2 to SL(2, ℤ) ≡ Γ. Each of the wavefunctions on T12×T22 and 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 M1 and M2. Then, zero-modes transform each other under the modular symmetry as multiplets of double covering groups of ΓN such as the double cover of S4.
AB - We study the modular symmetry of zero-modes on T12×T22 and orbifold compactifications with magnetic fluxes, M1, M2, where modulus parameters are identified. This identification breaks the modular symmetry of T12×T22, SL(2, ℤ)1× SL(2, ℤ)2 to SL(2, ℤ) ≡ Γ. Each of the wavefunctions on T12×T22 and 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 M1 and M2. Then, zero-modes transform each other under the modular symmetry as multiplets of double covering groups of ΓN such as the double cover of S4.
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U2 - 10.1007/JHEP11(2020)101
DO - 10.1007/JHEP11(2020)101
M3 - Article
AN - SCOPUS:85096374025
SN - 1126-6708
VL - 2020
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 11
M1 - 101
ER -