论文标题

三维$ \ mathcal {n} = 2 $ $ $ su(n_c)$手性伴奏SQCD

Dualities for three-dimensional $\mathcal{N} = 2$ $SU(N_c)$ chiral adjoint SQCD

论文作者

Amariti, Antonio, Fazzi, Marco

论文摘要

我们研究3d $ \ Mathcal {n} = 2 $ $ $ su(n_c)$ sqcd的二元性,在与多项式超级电位的伴随的情况下,在Chern-Simons级别$ k $。二元性被称为手性,因为有不同数量的基本面$ n_f $和antifundamentals $ n_a $。我们以$ | n_f -n_a |的方式构建了此类二元性的完整分类。 $和$ k $。分类是通过研究非手续病例的流量来获得的,我们通过匹配三个球体分区函数来证实我们的建议。最后,我们在没有伴随的情况下重新访问了$ su(N_C)$ SQCD的情况,将我们的结果与以前的文献进行了比较。

We study dualities for 3d $\mathcal{N} = 2$ $SU(N_c)$ SQCD at Chern-Simons level $k$ in presence of an adjoint with polynomial superpotential. The dualities are dubbed chiral because there is a different amount of fundamentals $N_f$ and antifundamentals $N_a$. We build a complete classification of such dualities in terms of $ |N_f - N_a| $ and $k$. The classification is obtained by studying the flow from the non-chiral case, and we corroborate our proposals by matching the three-sphere partition functions. Finally, we revisit the case of $SU(N_c)$ SQCD without the adjoint, comparing our results with previous literature.

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