论文标题
量子早期宇宙中的空间，物质和互动。第二部分：Superalgebras和Vertex代数
Space, Matter and Interactions in a Quantum Early Universe. Part II : Superalgebras and Vertex Algebras
论文作者
论文摘要
在我们对量子重力的调查中，我们介绍了一个无限的尺寸复杂谎言代数$ \ textbf {$ {\ Mathfrak g} _ {\ Mathsf u} $} $，该$扩展了$ \ Mathbf {e_9} $。它是通过等级12 Borcherds代数的对称cartan矩阵来定义的。我们将$ \ textbf {$ {\ mathfrak g} _ {\ mathsf u} $} $变成谎言superalgebra $ \ textbf {$ \ mathfrak {sg} _ {\ mathsf u} $} $，没有超级零件，以与superpartners no superpartners一起，以使Paili Dempliuse dorpiuse paili supporlie paili principer paili principle partiple partiple partiple principle prinst prinst prinst prinst prinst。 PoincaréGroup在$ \ textbf {$ \ Mathfrak {sg} _ {\ Mathsf U} $} $上有一个自然动作，这是大型行业中的自动形态。我们介绍了一种散射机制，其中包括腐烂，特定{\ IT共振散射}。最后，我们通过将本地$ \ textbf {$ \ mathfrak {sg} _ {\ mathsf u} $} $合并到一个vertex-type代数中来完成模型。
In our investigation on quantum gravity, we introduce an infinite dimensional complex Lie algebra $\textbf{${\mathfrak g}_{\mathsf u}$}$ that extends $\mathbf{e_9}$. It is defined through a symmetric Cartan matrix of a rank 12 Borcherds algebra. We turn $\textbf{${\mathfrak g}_{\mathsf u}$}$ into a Lie superalgebra $\textbf{$\mathfrak {sg}_{\mathsf u}$}$ with no superpartners, in order to comply with the Pauli exclusion principle. There is a natural action of the Poincaré group on $\textbf{$\mathfrak {sg}_{\mathsf u}$}$, which is an automorphism in the massive sector. We introduce a mechanism for scattering that includes decays as particular {\it resonant scattering}. Finally, we complete the model by merging the local $\textbf{$\mathfrak {sg}_{\mathsf u}$}$ into a vertex-type algebra.
