论文标题
针对超级场分支的小型介绍,具有分支规则
A Mini-Introduction To Superfield Decompositions With Branching Rules
论文作者
论文摘要
本文提供了一个简短的介绍,对一个谎言代数中不可约的代表的分支规则扩展了标量,骨气和费米子的超级领域的扩展(在我们的情况下,$ \ mathfrak {sufrak {su}(32)(32)$,以及$ \ mathfrak {sufrak {su {su}(16)$ subalgebras $ subalgebras($ \ subalgebras)( $ \ mathfrak {so}(10)$)。这种系统的方法为扩展骨气和费米子超级场铺平了道路,以便寻找可能的脱壳超级超级超级人物。此外,我们以最简单的形式在Mathematica中实现了这种分解方法,可用于超级场合分解。
This paper provides a short introduction to scalar, bosonic, and fermionic superfield component expansion based on the branching rules of irreducible representations in one Lie algebra (in our case, $\mathfrak{su}(32)$, and also $\mathfrak{su}(16)$) into one of its Lie subalgebras ($\mathfrak{so}(11)$, $\mathfrak{so}(10)$). This systematic method paves the way for expansion of bosonic and fermionic superfields, in order to search for possible off-shell supergravity supermultiplets. Furthermore, we implement such a decomposition method in Mathematica in its simplest form, which can be used for superfield component decompositions.