论文标题

1/2 bps圆圈的形成性和非符合性超环变形

Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle

论文作者

Drukker, Nadav, Kong, Ziwen, Probst, Malte, Tenser, Marcia, Trancanelli, Diego

论文摘要

我们以三维$ {\ cal n} = 4 $ Quiver Chern-Simons-Matter理论构建新的大型BPS Wilson Hyperloops在$ S^3 $上。主要策略是从该理论的1/2 bps Wilson循环开始,选择其保留的增压的任何线性组合,并查找基于仍然保留该增压的物质领域建立的变形。这是基于1/4和1/8 bps骨环的变形,对最近开发的方法的有力概括,它本身在发现新操作员方面比依靠复杂的Ansatze的较旧方法更有效。我们发现了BPS Hyperloops的许多新的模量空间,可保留不同数量的超对称性和1/2 bps操作员对称的各种子集。尤其是,我们发现新的玻感运营商保留了2或3个增压,以及不与任何玻色循环共享增压的新循环系列,包括共形的1/8和1/4 bps循环的子类。

We construct new large classes of BPS Wilson hyperloops in three-dimensional ${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is to start with the 1/2 BPS Wilson loop of this theory, choose any linear combination of the supercharges it preserves, and look for deformations built out of the matter fields that still preserve that supercharge. This is a powerful generalization of a recently developed approach based on deformations of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at discovering new operators than older methods relying on complicated ansatze. We discover many new moduli spaces of BPS hyperloops preserving varied numbers of supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator. In particular, we find new bosonic operators preserving 2 or 3 supercharges as well as new families of loops that do not share supercharges with any bosonic loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal.

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