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In this paper we continue the investigation of aspects of integrability ofthe type IIA AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) superstrings.By constructing a one parameter family of flat connections we prove that theGreen-Schwarz string is classically integrable, at least to quadratic order infermions, without fixing the kappa-symmetry. We then compare the quantumdispersion relation, fixed by integrability up to an unknown interpolatingfunction h(lambda), to explicit one-loop calculations on the string worldsheet.For AdS(3) x S(3) x S(3) x S(1) the spectrum contains heavy, as well as lightand massless modes, and we find that the one-loop contribution differsdepending on how we treat these modes showing that similar regularizationambiguities as appeared in AdS(4)/CFT(3) occur also here.

Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring