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The mass eigen states $K_1(1270)$ and $K_1(1400)$ are mixture of the strangemembers of two axial-vector SU(3) octet, $^3P_1(K_1^A)$ and $^1P_1(K_1^B)$.Taking into account this mixture, the forward-backward asymmetry and branchingratio of $B \rar K_1(1270,1400) \ell^+ \ell^-$ transitions are studied in theframework of different supersymmetric models. It is found that the results haveconsiderable deviation from the standard model predictions. Any measurement ofthese physical observables and their comparison with the results obtained inthis paper can give useful information about the nature of interactions beyondthe standard model.

Forward-backward Asymmetry and Branching Ratio of $B \rar K_1 \ell^+ \ell^-$ Transition in Supersymmetric Models