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arXiv 1911.04485hep-th
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隐超对称性是构造低能超场有效作用量的关键

Hidden supersymmetry as a key to constructing low-energy superfield effective actions

I. L. Buchbinder, E. A. Ivanov

摘要:

在这篇评论文章中,我们概述和解释的一般方法,构建超场低能量子有效作用的超对称杨米尔斯(SYM)理论与扩展的超对称性在库仑相位,接地下的非显式(隐藏)部分的基础超对称性的不变性的要求。这样我们恢复了$4D, {\cal N}=4$ SYM理论中的${\cal N}=4$超对称有效作用量、$5D, {\cal N}=2$ SYM理论中的${\cal N}=2$超对称有效作用量和$6D, {\cal N}=(1,1)$ SYM理论中的${\cal N}=(1,1)$超对称有效作用量。完全超对称的明显离壳分数分别是$4D, {\cal N}=2$、$5D, {\cal N}=1$和$6D, {\cal N}=(1,0)$超对称。在所有情况下,有效作用量取决于相应的协变超场SYM强度和超多重态超场。整个结构本质上利用了调和超空间形式主义的力量。

英文摘要:

In this review paper, we outline and exemplify the general method of constructing the supefield low-energy quantum effective action of supersymmetric Yang-Mills (SYM) theories with extended supersymmetry in the Coulomb phase, grounded upon the requirement of invariance under the non-manifest (hidden) part of the underlying supersymmetry. In this way we restore the ${\cal N}=4$ supersymmetric effective actions in $4D, {\cal N}=4$ SYM, ${\cal N}=2$ supersymmetric effective actions in $5D, {\cal N}=2$ SYM and ${\cal N}=(1,1)$ supersymmetric effective actions in $6D, {\cal N}=(1,1)$ SYM theories. The manifest off-shell fractions of the full supersymmetry are, respectively, $4D, {\cal N}=2$, $5D, {\cal N}=1$ and $6D, {\cal N}=(1,0)$ supersymmetries. In all cases the effective actions depend on the corresponding covariant superfield SYM strengths and the hypermultiplet superfields. The whole construction essentially exploits a power of the harmonic superspace formalism.

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