M理论宇宙学，八元数，纠错码
M-theory Cosmology, Octonions, Error Correcting Codes
摘要：
利用$G_2$ -完整性研究了扭曲7-环面上紧化的M-理论.有效的四维超引力有7个手征多重态，每个手征多重态都有一个单位对数凯勒势。我们提出了八元数，法诺平面为基础的超势，编纂的纠错汉明（7，4）码。相应的7模模型具有一个方向平坦的Minkowski真空。我们还提出了基于八元数/纠错码的两个平坦方向的闵可夫斯基真空模型的超势。我们更新的唯象$α$ -吸引子模型的通货膨胀与$3α=7,6,5,4,3,1$，根据通货膨胀沿这些平坦的方向。这些暴胀模型再现了探测B模式的基准目标，预测了$10^{-2}\gtrsim r \gtrsim 10^{-3}$范围内7种不同的$r = 12α/N_{e}^{2}$值，将由未来的宇宙学观测进行探索。
英文摘要：
We study M-theory compactified on twisted 7-tori with $G_2$-holonomy. The effective 4d supergravity has 7 chiral multiplets, each with a unit logarithmic Kähler potential. We propose octonion, Fano plane based superpotentials, codifying the error correcting Hamming (7,4) code. The corresponding 7-moduli models have Minkowski vacua with one flat direction. We also propose superpotentials based on octonions/error correcting codes for Minkowski vacua models with two flat directions. We update phenomenological $α$-attractor models of inflation with $3α=7,6,5,4,3,1$, based on inflation along these flat directions. These inflationary models reproduce the benchmark targets for detecting B-modes, predicting 7 different values of $r = 12α/N_{e}^{2}$ in the range $10^{-2}\gtrsim r \gtrsim 10^{-3}$, to be explored by future cosmological observations.
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