  Starting from a graded Frobenius superalgebra $B$, we consider a graphical
calculus of $B$-decorated string diagrams. From this calculus we produce
algebras consisting of closed planar diagrams and of closed annular diagrams.
The action of annular diagrams on planar diagrams can be used to make clockwise
(or counterclockwise) annular diagrams into an inner product space. Our main
theorem identifies this space with the space of symmetric functions equipped
with the Jack inner product at Jack parameter $\operatorname{dim}
B_\mathrm{even} - \operatorname{dim} B_\mathrm{odd}$. In this way, we obtain a
graphical realization of that inner product space.

Representation Theory;Quantum Algebra;Rings and Algebras