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We describe quantum theories for massless (p,q)-forms living on Kaehler spaces. Their field equations can be obtained in a natural way by first-quantizing a spinning particle with a U(2)-extended supersymmetry on the worldline. The particle system contains four supersymmetric charges, represented quantum mechanically by the Dolbeault operators and their hermitian conjugates. We investigate their one loop effective actions, identify corresponding heat kernel coecients, and derive exact duality relations. The dualities are seen to include mismatches related to topological indices and analytic torsions.