论文标题
二元性二元性:顺序反馈技术
Dualities from dualities: the sequential deconfinement technique
论文作者
论文摘要
这是一个有趣的问题,是否可以用其他更基本的二元性来解释量子场理论之间的给定二元性。例如,最近已经显示,可以通过类似塞贝格(Seiberg)的二元性的迭代应用来获得镜偶性。在本文中,我们继续进行这一调查,重点介绍了带有张量问题的理论。在这种情况下,人们可以应用解解的想法,该想法包括通过合适的基本双重性将张量事物交换为额外的量规节点。这给出了一个辅助双框架,然后在迭代过程中可以通过进一步的双重化来操纵,最终对原始理论产生了有趣的双重描述。顺序解料技术在数学物理学的不同领域具有化身,例如对超几何和椭圆高几何积分身份的研究或$ 2D $免费的场相关器。我们在上下文中讨论了各种示例$ 4D $ $ \ MATHCAL {n} = 1 $ supersymmetric Theories,这与椭圆高几何积分有关。其中包括一种涉及颤抖理论的新自偶性,该性表现出对$ e_6 $的非平凡全局对称性增强。
It is an interesting question whether a given infra-red duality between quantum field theories can be explained in terms of other more elementary dualities. For example recently it has been shown that mirror dualities can be obtained by iterative applications of Seiberg-like dualities. In this paper we continue this line of investigation focusing on theories with tensor matter. In such cases one can apply the idea of deconfinement, which consists of trading the tensor matter for extra gauge nodes by means of a suitable elementary duality. This gives an auxiliary dual frame which can then be manipulated with further dualizations, in an iterative procedure eventually yielding an interesting dual description of the original theory. The sequential deconfinement technique has avatars in different areas of mathematical physics, such as the study of hypergeometric and elliptic hypergeometric integral identities or of $2d$ free field correlators. We discuss various examples in the context $4d$ $\mathcal{N}=1$ supersymmetric theories, which are related to elliptic hypergeometric integrals. These include a new self-duality involving a quiver theory which exhibits a non-trivial global symmetry enhancement to $E_6$.