Chiral ring of a supersymmetric gauge theory

The chiral ring is generated by gauge-invariant chiral operators modulo relations that vanish by F-term equations. In SQCD its basic generators are meson and baryon operators.

Table of contents
- Meson operator in supersymmetric quantum chromodynamics Chiral ring of a supersymmetric gauge theory
- Baryon operator in supersymmetric quantum chromodynamics Chiral ring of a supersymmetric gauge theory

Meson operator in supersymmetric quantum chromodynamics ( $M^{i}_{j} = Q_{j} Q^{i}$ )

 0  0

An SQCD meson is the gauge-invariant chiral bilinear

M^{i}_{j} = Q_{j} Q^{i}

. It transforms under both flavor groups and parametrizes mesonic directions of the vacuum moduli space.

Baryon operator in supersymmetric quantum chromodynamics ( $B, B$ )

 0  0

An SQCD baryon contracts

N_{c}

fundamental fields with the gauge epsilon tensor; an antibaryon similarly contracts antifundamentals. Such operators exist when enough flavors are available and obey relations with the mesons.