Affleck–Dine–Seiberg superpotential Created 2026-09-28 Updated 2026-11-05
For SQCD with , strong dynamics generates the Affleck–Dine–Seiberg superpotential. For with one flavor it is proportional to and produces a runaway to infinite meson expectation value.
Past exam of the mathematics course of the University of Cambridge 2023 iii Paper 307 3 ii Solution 2026-09-28
For , antisymmetry makes the would-be baryons vanish, and the only generator of the chiral ring of a supersymmetric gauge theory is the meson operator in supersymmetric quantum chromodynamics . It obeys no classical constraint. Holomorphy, mass dimension and all three U(1) charges uniquely permit the Affleck–Dine–Seiberg superpotentialup to a nonzero constant absorbed into . Since never vanishes at finite , there is no finite supersymmetric ground state. Instead the potential approaches zero as : the theory has a supersymmetric runaway vacuum at infinity.