论文标题
超统一
Ultra Unification
论文作者
论文摘要
强，电磁和弱力在具有自发量规对称性破裂的标准模型（SM）中统一。将这些力进一步猜想是在大统一（GUT）中简单的谎言组相互作用中统一。在这项工作中，我们通过添加与非扰动全球呼吸界面相一致的新差异拓扑相位扇区提出了一种理论（尤其是从Baryon Minus Lepton Number $ {\ bf B} - {\ bf L} $，Electroweak Electroweak y y y y y $ y $ y $ y $ y $ y y $ y y $ y y $ y y $ y $ y $，and和y y $ y $ y $ y，and and $ y y $ y，以及相差。间隙拓扑相扇区是通过对称扩展构建的，其低能包含统一的Lorentz不变的拓扑量子量子场理论（TQFTS）：3+1D不可固化的TQFT，或4+1D可逆或不可逆转的或不可变形的TQFT（短距离或远距离或远距离旋转式裂开相位）。另外，还可能有右撇子的“无菌”中微子，无间隙的非图案物理学，更通用的相互作用的保形场理论，或具有拓扑结合的重力，或者它们的组合完全取消了混合仪表式异常。我们建议，超出传统0D粒子物理的新型高能物理前沿依赖于新的拓扑作用力和拓扑物质，包括扩大的扩展物体（张开的1D线和2D表面算子或缺陷等，其开口端的端端带有脱辅入的分数化粒子或任何任何一个弦乐或任何无质量的兴奋）或无等待的物质。这些宽大的扩展对象的物理特征需要共同体，恢复或类别的数学理论。尽管比弱力弱，但拓扑作用力是无限范围或远距离的距离，不会在距离内衰减，并且通过分数或分类统计相互作用在链接的WorldVolume轨迹之间进行介导。
Strong, electromagnetic, and weak forces were unified in the Standard Model (SM) with spontaneous gauge symmetry breaking. These forces were further conjectured to be unified in a simple Lie group gauge interaction in the Grand Unification (GUT). In this work, we propose a theory beyond the SM and GUT by adding new gapped Topological Phase Sectors consistent with the nonperturbative global anomaly cancellation and cobordism constraints (especially from the baryon minus lepton number ${\bf B}-{\bf L}$, the electroweak hypercharge $Y$, and the mixed gauge-gravitational anomaly). Gapped Topological Phase Sectors are constructed via symmetry extension, whose low energy contains unitary Lorentz invariant topological quantum field theories (TQFTs): either 3+1d non-invertible TQFT, or 4+1d invertible or non-invertible TQFT (short-range or long-range entangled gapped phase). Alternatively, there could also be right-handed "sterile" neutrinos, gapless unparticle physics, more general interacting conformal field theories, or gravity with topological cobordism constraints, or their combinations to altogether cancel the mixed gauge-gravitational anomaly. We propose that a new high-energy physics frontier beyond the conventional 0d particle physics relies on the new Topological Force and Topological Matter including gapped extended objects (gapped 1d line and 2d surface operators or defects, etc., whose open ends carry deconfined fractionalized particle or anyonic string excitations) or gapless conformal matter. Physical characterizations of these gapped extended objects require the mathematical theories of cohomology, cobordism, or category. Although weaker than the weak force, Topological Force is infinite-range or long-range which does not decay in the distance, and mediates between the linked worldvolume trajectories via fractional or categorical statistical interactions.
