论文标题
量子操作员量子模糊四个球$ s_ {qf}^{4} $
Dirac operator on the quantum fuzzy four-sphere $ S_{qF}^{4} $
论文作者
论文摘要
Q构造的模糊狄拉克和手性运算符在量子模糊四个球$ s^{4} _ {qf} $上。使用Q形式的模糊金斯帕格 - 威尔森代数，已研究了Instanton和No-Instanton部门的Q形成的模糊狄拉克和手性操作员。此外，在这两种情况下都已经构建了dirac和手性操作员。已经表明，在限制情况下，当$ q \ longrightArrow1 $和非交换参数$ l $倾向于无限时，我们的结果在限制情况下都有正确的交换限制。
The q-deformed fuzzy Dirac and chirality operators on quantum fuzzy four-sphere $ S^{4}_{qF} $. Using the q-deformed fuzzy Ginsparg-Wilson algebra, it has been studied the q-deformed fuzzy Dirac and chirality operators in instanton and no-instanton sector. Also, gauged Dirac and chirality operators in both cases have been constructed. It has been showed that In each step our results have correct commutative limit in the limit case when $ q\longrightarrow1 $ and noncommutative parameter $ l $ tends to infinity.
