Monopole-deformed Kim-Park dualities from elementary dualities
Sungjoon Kim, Jehyun Lee
Abstract
We derive the ellipsoid partition function identities for the monopole-deformed Kim-Park dualities of 3d N=2 adjoint SQCD with unitary gauge groups. The derivation uses only Aharony and Benini-Benvenuti-Pasquetti dualities as building blocks. By deconfining the adjoint into a Cp[U(N)] quiver tail, we construct explicit duality sequences. Confinement and a rank-reducing duality chain then yield the expected magnetic partition functions, including the singlet contributions. We also present an alternative partition-function derivation of the Cp[U(N)] s-confinement and provide Quiver Lab, a standalone HTML application for implementing and visualizing duality moves on quiver diagrams.
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