论文标题
M理论宇宙学，八元，错误纠正代码
M-theory Cosmology, Octonions, Error Correcting Codes
论文作者
论文摘要
我们研究了在扭曲的7-tori上以$ g_2 $ - 霍尔科尼的重交的理论。有效的4D超级重力具有7个手性多重，每个多重型具有单位对数Kähler电位。我们提出了基于FANO平面的八元，将纠正锤式（7,4）代码的错误编码。相应的7个模型具有一个平坦方向的Minkowski真空吸尘器。我们还提出了基于两个平坦方向的Minkowski Vacua模型的八元/错误校正代码。我们根据这些平坦方向的通货膨胀，更新现象学$α$ a $ a $α$ a $α$ a $α$ a的通货膨胀模型。这些通货膨胀模型在检测B模型的基准目标中重现了7种不同的值，$ r =12α/n_ {e}^{2} $在$ 10^{ - 2} \ gtrsim r \ gtrsim r \ gtrsim 10^{ - 3} $中，以未来的宇宙学观察探索。
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.
