arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2202.00355hep-thmath-phmath.DGmath.MP
收藏

例外代数胚与IIA型超弦

Exceptional algebroids and type IIA superstrings

Ondrej Hulik, Fridrich Valach

AI总结:

本文研究IIA型弦论翘曲紧化至n≤6维时的例外代数胚,发现其非恰当且局部模空间含5个点,关联两种标量形变,还可通过多形式扭曲括号,并将Leibniz平行化空间分类转化为代数问题,讨论了相关对偶性及例子。

摘要:

我们在IIA型弦论翘曲紧化至n维(n≤6)的背景下研究例外代数胚。与M理论和IIB型情形不同,相关代数胚不再是恰当的,其局部模空间不再平凡,而是有5个不同的点。这与IIA理论的两种可能标量形变相关。局部分类证明表明,除这些标量形变外,还可利用一对1-形式、一个2-形式、一个3-形式和一个4-形式扭曲括号。此外,我们通过分析将Leibniz平行化空间(对应最大超对称一致截断)的分类转化为易处理的代数问题。最后,我们讨论了泊松-李U对偶性及2、3、4维环面和球面给出的例子。

英文摘要:

We study exceptional algebroids in the context of warped compactifications of type IIA string theory down to $n$ dimensions, with $n\le 6$. In contrast to the M-theory and type IIB case, the relevant algebroids are no longer exact, and their locali moduli space is no longer trivial, but has $5$ distinct points. This relates to two possible scalar deformations of the IIA theory. The proof of the local classification shows that, in addition to these scalar deformations, one can twist the bracket using a pair of $1$-forms, a $2$-form, a $3$-form, and a $4$-form. Furthermore, we use the analysis to translate the classification of Leibniz parallelisable spaces (corresponding to maximally supersymmetric consistent truncations) into a tractable algebraic problem. We finish with a discussion of the Poisson-Lie U-duality and examples given by tori and spheres in $2$, $3$, and $4$ dimensions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑