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arXiv 0807.2683hep-lathep-th
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具有精确超对称性的二维N=（2，2）SQCD的晶格形式

Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry

Fumihiko Sugino

备注：
39 pages, no figures, LaTeX, (v2) some explanation added, (v3) misprint in eq.(3.19) corrected, (v4) version to be published in Nucl. Phys. B, (v5) a typo in eq.(A.12) fixed
发表信息：
Nucl.Phys.B808:292-325,2009
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摘要：

我们构造了一个二维N=（2，2）超对称QCD（SQCD）的格点模型，其物质多重态属于规范群U（N）或SU（N）的基本或反基本表示.这种结构是基于拓扑场论（扭曲超荷）公式，并严格保持了纯超对称杨-米尔斯理论的一个超荷。为了避免物质多重态的种类倍增，我们引入Wilson项，定义了基本物质（n_{+}）与反基本物质（n_{-}）个数相等的模型.如果某些物质多重态通过将相应的反全纯扭曲质量发送到无穷远而与理论解耦，我们可以分析一般的n_{+} \neq n_{-}情况，尽管格点模型定义为n_{+} = n_{-}。通过计算晶格微扰中U（1）_A R对称性的反常，我们看到实现了退耦，正确地得到了n_{+} \neq n_{-}的反常.

英文摘要：

We construct a lattice model for two-dimensional N=(2,2) supersymmetric QCD (SQCD), with the matter multiplets belonging to the fundamental or anti-fundamental representation of the gauge group U(N) or SU(N). The construction is based on the topological field theory (twisted supercharge) formulation and exactly preserves one supercharge along the line of the papers [1]--[4] for pure supersymmetric Yang-Mills theories. In order to avoid the species doublers of the matter multiplets, we introduce the Wilson terms and the model is defined for the case of the number of the fundamental matters (n_{+}) equal to that of the anti-fundamental matters (n_{-}). If some of the matter multiplets decouple from the theory by sending the corresponding anti-holomorphic twisted masses to the infinity, we can analyze the general n_{+}\neq n_{-} case, although the lattice model is defined for n_{+} =n_{-}. By computing the anomaly of the U(1)_A R-symmetry in the lattice perturbation, we see that the decoupling is achieved and the anomaly for n_{+}\neq n_{-} is correctly obtained.

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