TY - JOUR

T1 - Implications of the weak gravity conjecture in anomalous quiver gauge theories

AU - Abe, Yoshihiko

AU - Higaki, Tetsutaro

AU - Takahashi, Rei

N1 - Funding Information:
The authors thank Toshifumi Noumi and Tatsuo Kobayashi for useful discussions and comments. The authors thank also Yoshiyuki Tatsuta at the early stage of collaboration. The work of Y. A. is supported by JSPS Grant-in-Aid for Scientific Research, No. JP20J11901.

PY - 2020/9

Y1 - 2020/9

N2 - We argue a smallness of gauge couplings in Abelian quiver gauge theories, taking the anomaly cancellation condition into account. In theories of our interest there exist chiral fermions leading to chiral gauge anomalies, and an anomaly-free gauge coupling tends to be small, and hence can give a nontrivial condition of the weak gravity conjecture. As concrete examples, we consider U(1)k gauge theories with a discrete symmetry associated with cyclic permutations between the gauge groups, and identify anomaly-free U(1) gauge symmetries and the corresponding gauge couplings. Owing to this discrete symmetry, we can systematically study the models and we find that the models would be examples of the weak coupling conjecture. It is conjectured that a certain class of chiral gauge theories with too many U(1) symmetries may be in the swampland. We also numerically study constraints on the couplings from the scalar weak gravity conjecture in a concrete model. These constraints may have a phenomenological implication to model building of a chiral hidden sector as well as the visible sector.

AB - We argue a smallness of gauge couplings in Abelian quiver gauge theories, taking the anomaly cancellation condition into account. In theories of our interest there exist chiral fermions leading to chiral gauge anomalies, and an anomaly-free gauge coupling tends to be small, and hence can give a nontrivial condition of the weak gravity conjecture. As concrete examples, we consider U(1)k gauge theories with a discrete symmetry associated with cyclic permutations between the gauge groups, and identify anomaly-free U(1) gauge symmetries and the corresponding gauge couplings. Owing to this discrete symmetry, we can systematically study the models and we find that the models would be examples of the weak coupling conjecture. It is conjectured that a certain class of chiral gauge theories with too many U(1) symmetries may be in the swampland. We also numerically study constraints on the couplings from the scalar weak gravity conjecture in a concrete model. These constraints may have a phenomenological implication to model building of a chiral hidden sector as well as the visible sector.

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U2 - 10.1103/PhysRevD.102.065004

DO - 10.1103/PhysRevD.102.065004

M3 - Article

AN - SCOPUS:85092528482

VL - 102

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 065004

ER -