超世界线中的粒子和BRST

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2022-07-05 DOI:10.5817/am2022-5-259

E. Boffo

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引用次数: 0

摘要

在这篇简短的文章中，我们讨论了相对论性无质量粒子的抛掷-超对称世界线，并回顾了已知的物理自旋-抛掷/抛掷场在第一个BRST上同群中的结果。对于二进制操作(即二进制操作)= 1,2,4，重点是给出了BRST微分的特定变形，这些变形实现了规范理论的协变导数或粒子所看到的目标空间中的度量连接。最后，我们讨论了在背景中加入雷蒙-雷蒙通量的可能性。

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Particles in the superworldline and BRST

In this short note we discuss 𝑁 -supersymmetric worldlines of relativistic massless particles and review the known result that physical spin- 𝑁 / 2 ﬁelds are in the ﬁrst BRST cohomology group. For 𝑁 = 1 , 2 , 4, emphasis is given to particular deformations of the BRST diﬀerential, that implement either a covariant derivative for a gauge theory or a metric connection in the target space seen by the particle. In the end, we comment about the possibility of incorporating Ramond-Ramond ﬂuxes in the background.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.