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 Incoming links: Supersymmetric quantum electrodynamics

Write the scalar components as

ϕ_{i}, ϕ_{i}, x

W_{x} = \sum_{i} ϕ_{i} ϕ_{i}, W_{ϕ_{i}} = ϕ_{i} (x - m_{i}), W_{ϕ_{i}} = (x - m_{i}) ϕ_{i} .

Choosing the sign of the Fayet–Iliopoulos term so that positive

ζ

favors the positively charged fields, the full Supersymmetric quantum electrodynamics potential is

V = i \sum ∣ x - m_{i} ∣^{2} (∣ ϕ_{i} ∣^{2} + ∣ ϕ_{i} ∣^{2}) + i \sum ϕ_{i} ϕ_{i}^{2} + \frac{g ^{2}}{2} (i \sum ∣ ϕ_{i} ∣^{2} - i \sum ∣ ϕ_{i} ∣^{2} - ζ)^{2} .

Changing the FI sign convention exchanges

ϕ

with

ϕ

in the descriptions below.

Supersymmetric quantum electrodynamics Created 2026-09-28 Updated 2026-11-05