论文标题
插值威尔逊循环和丰富的RG流
Interpolating Wilson loops and enriched RG flows
论文作者
论文摘要
我们研究了新的$ 1/24 $ BPS圆形的Wilson Loop（M）理论，它们是根据几个参数定义的，这些参数在以前已知的$ 1/6 $ bps loops（Bosonic和Fermonic）和$ 1/2 $ $ bps fermionic loop之间连续插入。我们使用一维有效的现场理论方法计算这些操作员在扰动理论中的期望值最高。在尺寸正则化中，我们发现参数的非平凡$β$符合性是略有相关的变形，从$ 1/6 $ bps bosonic loop代表的uv固定点触发了rg流，以$ 1/2 $ bps fermionic fermionic loop表示。一般而言，沿所有流量至少保留了一个理论的一个增压，因此我们将它们称为丰富的RG流。特别是，固定点是通过$ 1/6 $ bps fermionic操作员连接的。这是框架零的，这是采用正规化计划的结果。我们还建立了G Theorem，将与流量的UV和IR固定点相对应的Wilson Loop的期望值，并讨论生活在Wilson Loop Countor上的一维缺陷SCFT。
We study new $1/24$ BPS circular Wilson loops in ABJ(M) theory, which are defined in terms of several parameters that continuously interpolate between previously known $1/6$ BPS loops (both bosonic and fermionic) and $1/2$ BPS fermionic loops. We compute the expectation value of these operators up to second order in perturbation theory using a one-dimensional effective field theory approach. Within dimensional regularization, we find non-trivial $β$-functions for the parameters, which are marginally relevant deformations triggering RG flows from a UV fixed point represented by the $1/6$ BPS bosonic loop to an IR fixed point represented by a $1/2$ BPS fermionic loop. Generically, along all flows at least one supercharge of the theory is preserved, so that we refer to them as enriched RG flows. In particular, fixed points are connected through $1/6$ BPS fermionic operators. This holds at framing zero, which is a consequence of the regularization scheme employed. We also establish a g-theorem, relating the expectation values of the Wilson loops corresponding to the UV and IR fixed points of the flow, and discuss the one-dimensional defect SCFT living on the Wilson loop contour.
