Lie type Jordan algebras

We study the variety $\mathcal{V}_J$ of Jordan algebras defined by the identities $x^2yx\equiv 0$ and $(x_1y_1)(x_2y_2)(x_3y_3)\equiv 0$. We suggest a method for constructing an algebra in $\mathcal{V}_J$ from an arbitrary Lie superalgebra. For certain subvarieties, we completely describe their identities and sequences of cocharacters. As a corollary, we obtain the first example of a variety of Jordan algebras with fractional exponential growth.