**Authors:**

(1) Toshiki Kawai, Department of Physics, Hokkaido University, Sapporo 060-0810, Japan (E-mail: t-kawai@higgs3.sci.hokudai.ac.jp);

(2) Yoshiharu Kawamura, Department of Physics, Shinshu University, Matsumoto 390-8621, Japan (E-mail: haru@azusa.shinshu-u.ac.jp).

## Table of Links

2 U(1) gauge theory on a warped background

3 Gauge-Higgs inflation on a warped background

4 Conclusions and discussions, Acknowledgements, and References

## 3 Gauge-Higgs inflation on a warped background

### 3.2 Model with a single fermion

A graph of V (φ) is depicted in Figure 1. Here, it is obtained by summing the function

### 3.3 Model with multiple fermions

Next, let us consider a combination of these cos-type potentials. We have now two fermions ψ1 and ψ2. Each fermion has the values of α, β and qψ as shown in Table 2, and then the potential is written as

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