Q-deformed fuzzy Ginsparg–Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere

Abstract

We construct the [Formula: see text]-deformed fuzzy Dirac and chirality operators on quantum fuzzy Podles sphere [Formula: see text]. We will show that there are a class of these operators on [Formula: see text] in which all of them in the limit case [Formula: see text] has the correct fuzzy sphere limit as well as they have correct commutative limit in the limit case when [Formula: see text] and noncommutative parameter [Formula: see text] tends to infinity.