't Hooft Conditions in Supersymmetric Dual Theories
Gustavo Dotti
TL;DR
This paper explores how anomaly matching and chiral ring similarities in supersymmetric dual theories lead to 't Hooft conditions, providing formulas for dual gauge group dimensions and applying them to specific models.
Contribution
It introduces a method to derive 't Hooft conditions from classical chiral ring similarities in supersymmetric dual theories, offering new insights into gauge group dimensions.
Findings
Derived 't Hooft consistency conditions for supersymmetric QCD duals.
Provided formulas for the dimension of dual gauge groups.
Applied the method to theories with matter in various representations.
Abstract
The matching of global anomalies of a supersymmetric gauge theory and its dual is seen to follow from similarities in their classical chiral rings. These similarities provide a formula for the dimension of the dual gauge group. As examples we derive 't Hooft consistency conditions for the duals of supersymmetric QCD and SU(N) theories with matter in the adjoint, and obtain the dimension of the dual groups.
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