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This work proves that the Seiberg Duality Conjecture holds for star-shaped quivers: the Gromov–Witten theories of mutation-related varieties are equivalent. In particular, it is known that there are only finitely many quivers that are mutation equivalent to a   $D$  -type quiver. We prove that the Seiberg Duality Conjecture holds for all quivers that are mutation equivalent to a   $D_{3}$  -type quiver, and find the change of Kähler variables.

Seiberg Duality Conjecture for Star-Shaped Quivers and Finiteness of Gromov–Witten Theory for D-Type Quivers