论文标题
带有四个增压的大型$ n $张量模型
A large-$N$ tensor model with four supercharges
论文作者
论文摘要
我们研究具有四个增压和$ O（n）^3 $全局对称性的超对称张量模型。该模型基于手性标量超级场，具有三个指数和四个四面体相互作用，在超电势中，这与三个维度相关。在总体上，该模型以旋速图为主导。我们在超空间中解决了通用$ d $的dyson-schwinger方程，并提取手性场的尺寸和双线性操作员的尺寸，以$ O（n）^3 $的各种表示形式转换。我们发现所有操作员的尺寸都是真实的，并且以1 <d <3 $的价格上限。我们的结果也与$ 3- \ Varepsilon $扩展的扰动结果一致。最后，我们提取双线性操作员的巨大自旋行为，并讨论与LightCone Bootstrap的联系。
We study a supersymmetric tensor model with four supercharges and $O(N)^3$ global symmetry. The model is based on a chiral scalar superfield with three indices and quartic tetrahedral interaction in the superpotential, which is relevant below three dimensions. In the large-$N$ limit the model is dominated by melonic diagrams. We solve the Dyson-Schwinger equations in superspace for generic $d$ and extract the dimension of the chiral field and the dimensions of bilinear operators transforming in various representations of $O(N)^3$. We find that all operator dimensions are real and above the unitarity bound for $1<d<3$. Our results also agree with perturbative results in $3-\varepsilon$ expansion. Finally, we extract the large spin behaviour of bilinear operators and discuss the connection with lightcone bootstrap.
