论文标题
广义的伴奏和超级P-BRANES
Generalised Cocycles and Super p-Branes
论文作者
论文摘要
我们研究了广义形式的谎言级超甲虫的共同体学（Cocycles）：超形，假相和积分形式。我们认为，可以根据新的Brane扫描作为新的高WZW术语的发电机来解释这些Cocycles，并可能为超级重力提供新来源。我们使用光谱序列的技术来抽象计算Chevalley-Eilenberg的同谋。我们首先关注超级OSP（2 | 2），并表明与亚司法部相关的假相类型之间存在非空的共同体学空间。然后，我们通过Koszul扩展了一些经典定理，以包括假相和积分形式。此外，我们猜想二元二元性延伸至超级甲壳虫，只要考虑了所有形式的复合物，并且我们证明这适用于OSP}（2 | 2）。我们最终通过使用伪类工具和积分形式的分布实现来明确构建共同体代表。一方面，这些结果表明，谎言超级半骨的共同体学比预期的要大。另一方面，我们展示了以伪类工具为代表的全新同胞学类别的出现。这些类代表子统一结构的整体类别类别。
We study the cohomology (cocycles) of Lie superalgebras for the generalised complex of forms: superforms, pseudoforms and integral forms. We argue that these cocycles might be interpreted in the light of a new brane scan as generators of new higher-WZW terms and might provide new sources for supergravity. We use the technique of spectral sequences to abstractly compute the Chevalley-Eilenberg cohomology. We first focus on the superalgebra osp(2|2) and show that there exist non-empty cohomology spaces among pseudoforms related to sub-superalgebras. We then extend some classical theorems by Koszul to include pseudoforms and integral forms. Further, we conjecture that the Poincare' duality extends to Lie superalgebras, as long as all the complexes of forms are taken into account and we prove that this holds for osp}(2|2). We finally construct the cohomology representatives explicitly by using a distributional realisation of pseudoforms and integral forms. On one hand, these results show that the cohomology of Lie superalgebras is larger than expected; on the other hand, we show the emergence of completely new cohomology classes represented by pseudoforms. These classes represent integral form classes of sub-superstructures.
