Construction of the Dirac operator on the $q$-deformed quantum space $EAdS^2$ using a generalized $q$-deformed Ginsparg–Wilson algebra

We construct $q$-deformed Dirac and chirality operators on the $q$-deformed quantum space $EAdS^2$ using a generalized quantum Ginsparg–Wilson algebra. We show that in the limit $q\to1$, these operators become the Dirac and chirality operators on the undeformed quantum space $EAdS^2$.