arXiv 1003.55902010-03math-phhep-thmath.MP

双基本模糊2-球面与模糊Killing旋量

Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors

Horatiu Nastase, Constantinos Papageorgakis

备注：: Invited contribution to special issue of SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) "Noncommutative Spaces and Fields"
发表信息：: SIGMA 6:058,2010
DOI：: 10.3842/SIGMA.2010.058

摘要：

我们回顾我们的建设的一个bifundamental版本的模糊2球和它的关系，模糊Killing旋量，首先获得的ABJM膜模型的背景下。这被证明是完全等价于通常的（伴随）模糊球。我们讨论的数学细节的双基本模糊球和它的场论扩展在一个模型无关的方式。我们还研究了这种新的配方如何影响扭曲的领域，比较模糊球背景的场论与紧化的"解构"（高维）场论。

英文摘要：

We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory.

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