  We establish a bijection between torsion pairs in the category of
finite-dimensional modules over a finite-dimensional algebra A and pairs (Z, I)
formed by a closed rigid set Z in the Ziegler spectrum of A and a set I of
indecomposable injective A-modules. This can be regarded as an extension of a
result from $\tau$-tilting theory which parametrises the functorially finite
torsion pairs over A. We also obtain a one-one-correspondence between
finite-dimensional bricks and certain (possibly infinite-dimensional)
indecomposable modules satisfying a rigidity condition. Our results also hold
when A is an artinian ring.
