Modular symmetry by orbifolding magnetized T 2 × T 2: realization of double cover of Γ N

Shota Kikuchi, Tatsuo Kobayashi, Hajime Otsuka, Shintaro Takada, Hikaru Uchida

Research output: Contribution to journalArticlepeer-review

65 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number101
JournalJournal of High Energy Physics
Volume2020
Issue number11
DOIs
Publication statusPublished - Nov 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Fingerprint

Dive into the research topics of 'Modular symmetry by orbifolding magnetized T 2 × T 2: realization of double cover of Γ N'. Together they form a unique fingerprint.

Cite this