论文标题
fuzzy ads-conifold $ y_ {ads_ {f}}^{6} $和dirac thraC纤维运算符$ x_ {ads_ {ads_ {f}}}^{5} \ rightArrow ads_ ads_ ads_ ads_ {f}
Fuzzy AdS-conifold $ Y_{AdS_{F}}^{6} $ and Dirac operator of principal fibration $ X_{AdS_{F}}^{5}\rightarrow AdS_{F}^{2}\times AdS_{F}^{2} $
论文作者
论文摘要
它已被构造为基础上的模糊ads- conifold $ y_ {ads_ {ads_ {ads_ {ads_ {ads_ {ads_ {6} $上的基础$ ads_ {f}^{f}^{3}^{3} \ times ads_ {f}^{2}^{2} $，在拓扑上是同源的，该空间与纤维的总空间} ads_ {f}^{2} \ times ads_ {f}^{2} $。在此捆绑包的射影模块描述之后，已经研究了模糊的dirac和手性操作员。使用模糊的金斯帕格 - 威尔森代数，已经研究了Instanton部门的模糊狄拉克和手性操作员。已经表明，当非交换参数$l_α$倾向于无穷大时，在极限情况下，它们具有正确的交换限制。
It has been constructed fuzzy AdS- conifold $ Y_{AdS_{F}}^{6} $ on the base $ AdS_{F}^{3}\times AdS_{F}^{2} $ which is topologically homeomorphic with the total space of the fibration $ X_{AdS_{F}}^{5}\rightarrow AdS_{F}^{2}\times AdS_{F}^{2} $. After the projective module description of this bundle, the pseudo fuzzy Dirac and chirality operators on fuzzy $ AdS^{2}_{F}\times AdS_{F}^{2} $ have been studied. Using the fuzzy Ginsparg-Wilson algebra, it has been studied the 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_α $ tends to infinity.
