具有零一圈真空能量的非阿贝尔非对称轨形
Non-abelian asymmetric orbifolds with vanishing one-loop vacuum energy
AI总结：
研究具有非阿贝尔旋转点群的四维非超对称II型环面轨形，给出部分分类，在特定限制下分类完整。通过研究解压缩极限发现部分解可由母轨形紧致化得到，计算bordism群确保无反常。
AI中文摘要：
我们给出了具有非阿贝尔旋转点群的四维、非超对称II型环面轨形的部分分类，且在弦微扰理论中一圈真空能量为零。在一类轨形中，当点群仅作用于完整内部\(T^6\)内的\(T^5\)时，分类是完整的。通过研究它们沿剩余\(S^1\)的解压缩极限，发现所找到的17个解可作为某些母非对称轨形的Scherk - Schwarz紧致化得到。在此过程中，为确保无反常，我们计算了各种非阿贝尔晶体群\(G\)的 bordism 群\(\Omega_3^{Spin(BG)}\)。
英文摘要：
We present a partial classification of four-dimensional, non-supersymmetric Type II toroidal orbifolds with non-abelian point groups of rotations, and vanishing vacuum energy at one loop in string perturbation theory. The classification is complete within a class of such orbifolds with the restriction that the point group only acts on a $T^5$ inside the full internal $T^6$. By studying their decompactification limits along the leftover $S^1$, we see that the 17 solutions we find can alternatively be obtained as Scherk--Schwarz compactifications of some parent asymmetric orbifold. Along the way, to ensure the absence of anomalies, we compute bordism groups $Ω_3^{Spin(BG)}$ for a variety of non-abelian crystallographic groups $G$.
