论文标题
4d镜子式二元
4d mirror-like dualities
论文作者
论文摘要
我们构建了一个$ 4D $ $ \ MATHCAL {N} = 1 $理论的家族，我们称之为$ E^σ_ρ[USP（2n）$，它展示了一种新颖的$ 4D $ ir duality duality duality duality，非常让人想起$ 3D $ $ $ $ $ \ natcal {n} = 4 $ $ t^$ t^q的镜子二元性。我们从最近介绍的$ e [usp（2n）] $理论中获得$ e^σ_ρ[usp（2n）] $理论，遵循由分区标记的VEVS启动的RG流量$ρ$和$σ$，用于在两个操作员转换为$ usp（2n）$ usp（2n）$ usp（2n）$ ir ii ir ii ir ii ir ii if souss $ c. $ e [USP（2n）] $理论。这些VEV是我们在$ t [su（n）] $的瞬间图中打开的$ 4D $提升，以触发流量到$ t^σ_ρ[su（n）] $。实际上，$ e [USP（2n）] $理论，随着维度的减少和合适的实际质量变形，减少了$ t [su（n）] $理论。为了研究VEVS触发的RG流，我们根据$ t [su（n）$和$ e [usp（2n）] $ Theories制定了一种新策略。
We construct a family of $4d$ $\mathcal{N}=1$ theories that we call $E^σ_ρ[USp(2N)]$ which exhibit a novel type of $4d$ IR duality very reminiscent of the mirror duality enjoyed by the $3d$ $\mathcal{N}=4$ $T^σ_ρ[SU(N)]$ theories. We obtain the $E^σ_ρ[USp(2N)]$ theories from the recently introduced $E[USp(2N)]$ theory, by following the RG flow initiated by vevs labelled by partitions $ρ$ and $σ$ for two operators transforming in the antisymmetric representations of the $USp(2N) \times USp(2N)$ IR symmetries of the $E[USp(2N)]$ theory. These vevs are the $4d$ uplift of the ones we turn on for the moment maps of $T[SU(N)]$ to trigger the flow to $T^σ_ρ[SU(N)]$. Indeed the $E[USp(2N)]$ theory, upon dimensional reduction and suitable real mass deformations, reduces to the $T[SU(N)]$ theory. In order to study the RG flows triggered by the vevs we develop a new strategy based on the duality webs of the $T[SU(N)]$ and $E[USp(2N)]$ theories.
