AI 中文总结
研究对张量数\(T = 1\)且含对角阿贝尔因子\(U(1)_{R +}\)的六维\((1,0)\)无反常模型进行有界搜索,发现斜度规模型图景丰富,还研究其6维真空态,找到超对称6维闵可夫斯基真空态,R - 对称度规对角性必要。
AI 中文摘要
我们描述了对张量数\(T = 1\)且规范群包含对角阿贝尔因子\(U(1)_{R +}\)的局部和全局无反常六维\((1,0)\)模型进行的有界搜索。该阿贝尔因子是通常度规\(U(1)_R\)与作用于超多重态的\(U(1)\subset Sp(n_H)\)的对角组合。我们搜索了局部和全局无反常的\(G_1\times U(1)_{R +}\)和\(G_1\times G_2\times U(1)_{R +}\)模型,受限于单因子的秩和物质携带的最大电荷。我们发现,与相对罕见的\(U(1)_R\)度规模型不同,斜度规模型提供了丰富的图景。我们还研究了这些模型的6维真空态,发现它们允许超对称6维闵可夫斯基真空态,对于这种真空态,R - 对称度规的对角性质是必要的。
英文摘要
We describe a bounded search for local and global anomaly-free six-dimensional $(1,0)$ models with tensor number $T=1$ and gauge group containing a diagonal abelian factor $U(1)_{R+}$. The abelian factor is the diagonal combination of the usual gauged $U(1)_R$ and a $U(1)\subset Sp(n_H)$ acting on hypermultiplets. We have searched for locally and globally anomaly-free $G_1\times U(1)_{R+}$ and $G_1\times G_2\times U(1)_{R+}$ models, subject to restrictions on the ranks of the simple factors and on the maximal charges carried by matter. We find that, unlike the case of $U(1)_R$ gauged models which are relatively rare, the diagonally gauged ones offer a rich landscape. We also study the 6D vacua of these models and find that they admit supersymmetric 6D Minkowski vacua, for which the diagonal nature of the R-symmetry gauging is necessary.
Comments31 pages