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The Rarita-Schwinger-Seiberg-Witten (RS-SW) equations are defined similarlyto the classical Seiberg-Witten equations, where a geometric non-Dirac-typeoperator replaces the Dirac operator called the Rarita-Schwinger operator. Indimension four, the RS-SW equation was first considered by the second-namedauthor. The variational approach will also give us a three-dimensional versionof the equations. The RS-SW equations share some features with themultiple-spinor Seiberg-Witten equations, where the moduli space of solutionscould be non-compact. In this note, we prove a compactness theorem regardingthe moduli space of solutions of the RS-SW equations defined on 3-manifolds.

The three-dimensional Seiberg-Witten equations for 3/2-spinors: a compactness theorem