论文标题
$ \ wideHat {sl（2）} $某些BKM分母公式的分解superalgebras -ii
$\widehat{sl(2)}$ decomposition of denominator formulae of some BKM Lie superalgebras -- II
论文作者
论文摘要
II型压缩的Chl Z_N Orbifolds的Siegel模块化形式的平方根是某些Borcherds-Kac-Moody的分母公式，用于N = 1,2,3,4。我们根据两个子代数的特征来研究这些Siegel模块化形式的分解：一个是$ \ wideHat {sl（2）} $，第二个是$ \ wideHat {sl（2）} $的Borcherds扩展。这是我们以前的工作的延续，我们研究了在Umbral Moonshine背景下出现的Siegel模块化形式的情况。这种情况更加复杂，并为我们提供了在这种情况下没有出现的新示例（n = 5）。我们将分析限制为扩展中的前N术语，这是对Siegel模块化形式进行解构的首次尝试，并揭示了n = 5,6发生的潜在新谎言代数的结构。
The square-root of Siegel modular forms of CHL Z_N orbifolds of type II compactifications are denominator formulae for some Borcherds-Kac-Moody Lie superalgebras for N=1,2,3,4. We study the decomposition of these Siegel modular forms in terms of characters of two sub-algebras: one is a $\widehat{sl(2)}$ and the second is a Borcherds extension of the $\widehat{sl(2)}$. This is a continuation of our previous work where we studied the case of Siegel modular forms appearing in the context of Umbral moonshine. This situation is more intricate and provides us with a new example (for N=5) that did not appear in that case. We restrict our analysis to the first N terms in the expansion as a first attempt at deconstructing the Siegel modular forms and unravelling the structure of potentially new Lie algebras that occur for N=5,6.
