Bootstrapping the $$ \mathcal{N} $$ = 1 Wess-Zumino models in three dimensions
Bootstrapping the $$ \mathcal{N} $$ = 1 Wess-Zumino models in three dimensions
复制标题
在三个维度上引导 $$ mathcal{N} $$ = 1 Wess-Zumino 模型
DOI：
10.1007/jhep06(2021)153
复制
发表时间：
2019
影响因子：
5.4
通讯作者：
Ning Su
中科院分区：
文献类型：
--
作者：
J. Rong;Ning Su
摘要
采用数值自举法，确定了最小三维$$ \mathcal{N} $$的临界指数
n
= 1个具有立方超势的Wess-Zumino模型$$ \mathcal{W}\sim {d}_{ijk}{\Phi}^i{\Phi}^j{\Phi}^k $$
w
∼
d
ijk
Φ
I
Φ
j
Φ
k
． 张量dijk取为置换群SN、特殊酉群SU(N)或称为F4李群族的一系列群的不变张量。根据运动方程，在Wess-Zumino不动点处，算子dijkΦjΦk是Φi的（超）后代。我们在数值bootstrap中观察到这种超级多波重组，这使我们能够确定超级场∆Φ的缩放维数。
Abstract
Using numerical bootstrap method, we determine the critical exponents of the minimal three-dimensional $$ \mathcal{N} $$
N
= 1 Wess-Zumino models with cubic superpotetential $$ \mathcal{W}\sim {d}_{ijk}{\Phi}^i{\Phi}^j{\Phi}^k $$
W
∼
d
ijk
Φ
i
Φ
j
Φ
k
. The tensor dijk is taken to be the invariant tensor of either permutation group SN, special unitary group SU(N), or a series of groups called F4 family of Lie groups. Due to the equation of motion, at the Wess-Zumino fixed point, the operator dijkΦjΦk is a (super)descendant of Φi. We observe such super-multiplet recombination in numerical bootstrap, which allows us to determine the scaling dimension of the super-field ∆Φ.