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Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries
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Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries
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Journal Article
Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries
2022
Overview
A
bstract
We examine a common origin of four-dimensional flavor, CP, and U(1)
R
symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U(1)
R
symmetries are unified into the Sp(2
h
+ 2
,
ℂ) modular symmetries of Calabi-Yau threefolds with
h
being the number of moduli fields. Together with the
ℤ
2
CP
CP symmetry, they are enhanced to
G
Sp(2
h
+ 2
,
ℂ) ≃ Sp(2
h
+ 2
,
ℂ) ⋊
ℤ
2
CP
generalized symplectic modular symmetry. We exemplify the
S
3
, S
4
, T
′
, S
9
non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and ℤ
2
, S
4
flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau three-folds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
