Lattice Formulation of a Two-Dimensional Topological Field Theory
Lattice Formulation of a Two-Dimensional Topological Field Theory
复制标题
二维拓扑场论的格子公式
DOI：
10.1143/ptp.117.317
复制
发表时间：
2006
影响因子：
--
通讯作者：
Tomohisa Takimi
中科院分区：
文献类型：
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作者：
Kazutoshi Ohta;Tomohisa Takimi
利用“轨道化”和“解构”方法研究了离散晶格上定义的二维N=(4,4)拓扑场论的可积性和可观测性。我们证明了格模型具有可积性，从而配分函数在点上化为标量场的矩阵积分。我们明确了离散点阵与可微流形之间有意义的区别，这对研究点阵上的拓扑量具有重要意义。我们还提出了N=(2,2)超对称晶格理论的一个新构造，该构造是通过对N=(4,4)理论的标量场进行适当截断来实现的。
We investigate an integrable property and observables of 2 dimensional N=(4,4) topological field theory defined on a discrete lattice by using the "orbifolding" and "deconstruction" methods. We show that our lattice model possesses the integrability and the partition function reduces to matrix integrals of scalar fields on sites in consequence. We make clear meaningful differences between the discrete lattice and differentiable manifold, which would be important to a study of topological quantities on the lattice. We also propose a new construction of N=(2,2) supersymmetric lattice theory, which is realized by a suitable truncation of scalar fields from the N=(4,4) theory.
晶格上的精确扩展超对称性：二维扭曲 N=2 超杨米尔斯。
DOI：
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发表时间：
2006
期刊：
Phys. Lett B633
影响因子：
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作者：
Issaku Kanamori;Noboru Kawamoto;Kazuhiro Nagata
通讯作者：
Kazuhiro Nagata