Algebras for Extended Geometry from Borcherds Superalgebras
Algebras for Extended Geometry from Borcherds Superalgebras
复制标题
Borcherds 超代数的扩展几何代数
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Jakob Palmkvist
中科院分区：
文献类型：
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作者：
Jakob Palmkvist
我们研究了扩展几何中规范变换的结构，它是统一二重几何、例外几何等的框架，这是通过给出Batalin-Vilkovisky框架或等价的L∞代数中鬼的变化来完成的。L∞括号是用Borcherds超代数B（gr+1）构造的导括号，B（gr+1）是结构代数gr的双扩张.该结构包括一组“辅助”鬼。所有涉及鬼的无限序列的括号明确给出。2-括号以上的所有偶数括号都消失，括号中的系数由伯努利数给出。结果是有效的，在没有辅助变换的鬼数1。我们提出的证据，为了更进一步，底层代数应该是相应的张量层次代数。
Weexamine the structure of gauge transformations in extended geometry, the framework unifying double geometry, exceptional geometry, etc. This is done by giving the variations of the ghosts in a Batalin–Vilkovisky framework, or equivalently, an L∞ algebra. The L∞ brackets are given as derived brackets constructed using an underlying Borcherds superalgebra B(gr+1), which is a double extension of the structure algebra gr . The construction includes a set of “ancillary” ghosts. All brackets involving the infinite sequence of ghosts are given explicitly. All even brackets above the 2-brackets vanish, and the coefficients appearing in the brackets are given by Bernoulli numbers. The results are valid in the absence of ancillary transformations at ghost number 1. We present evidence that in order to go further, the underlying algebra should be the corresponding tensor hierarchy algebra.
影响因子：
5
作者：
Hohm, Olaf;Samtleben, Henning
通讯作者：
Samtleben, Henning