The c4-tilting finiteness conjecture for symmetric algebras

Let $A$ be a finite-dimensional symmetric algebra. The algebra $A$ is $\tau$-tilting finite if it has only finitely many isomorphism classes of support $\tau$-tilting modules, and it is tilting-discrete if it has only finitely many tilting complexes of each length. The $\tau$-tilting finiteness conjecture. Any $\tau$-tilting finite symmetric algebra is tilting-discrete.

This conjecture concerns the relationship between finiteness of support $\tau$-tilting modules and finiteness of tilting complexes for symmetric algebras. The paper states that it is false and provides a counterexample.