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For two spatially anisotropic, SU(2)-invariant models of frustrated magnetsin arbitrary space dimension we present a non-perturbative proof of theexistence of neutral spin-1/2 excitations (spinons). In one model thefrustration is static and based on fine tuning of the coupling constants,whereas in the other it is dynamic and does not require adjusting of the modelparameters. For both models we derive a low-energy effective action which doesnot contain any constraints. Though our models admit the standard gauge theorytreatment, we follow an alternative approach based on Abelian and non-Abelianbosonization. We prove the existence of propagating spin-1/2 excitations(spinons) and consider in detail certain exactly solvable limits. A qualitativediscussion of the most general case is also presented.Comment: 42 pages, 7 figures, replaced with revised versio

Spinons in more than one dimension: Resonance valence bond state stabilized by frustration