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We show two Freidlin-Wentzell type Large Deviations Principles (LDP) in pathspace topologies (uniform and H\"older) for the solution process ofMcKean-Vlasov Stochastic Differential Equations (MV-SDEs) using techniqueswhich directly address the presence of the law in the coefficients andaltogether avoiding decoupling arguments or limits of particle systems. Weprovide existence and uniqueness results along with several properties for aclass of MV-SDEs having random coefficients and drifts of super-linear growth.  As an application of our results, we establish a Functional Strassen typeresult (Law of Iterated Logarithm) for the solution process of a MV-SDE.

Freidlin-Wentzell LDP in path space for McKean-Vlasov equations and the Functional Iterated Logarithm Law