It has been constructed the quantum super fuzzy Dirac and chirality operators on q-deformed super fuzzy sphere. Using the quantum super fuzzy Ginsparg-Wilson algebra, it has been studied the q-deformed super gauged fuzzy Dirac and chirality operators in instanton sector. It has been showed that they have correct commutative limit in the limit case when noncommutative parameter $ l $ tends to infinity and q tends to unit.

中文翻译：

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使用量子超级 Ginsparg-Wilson 代数在瞬时子扇区 q 变形超级模糊球体上的超级量子狄拉克算子

在q-变形超模糊球体上构造了量子超模糊Dirac和手性算子。利用量子超模糊Ginsparg-Wilson代数，研究了q-变形超规范模糊Dirac和瞬子扇区的手性算子。已经证明，当非交换参数 $ l $ 趋于无穷大且 q 趋于单位时，它们在极限情况下具有正确的交换极限。