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arXiv 0909.3918hep-th
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手征超引力作用和超引力

Chiral supergravity actions and superforms

S. J. Gates, S. M. Kuzenko, G. Tartaglino-Mazzucchelli

摘要:

超引力作用的超形式构造,被命名为“外质方法”,是基于在d时空维的情况下使用一个封闭的超d形式。在已知的例子中,这样的超执行是通过迭代求解非平凡的上同调问题获得的。后者通常使这个方案不亚于正规坐标法推导物质耦合超引力的分作用量。在这篇文章中,我们提出了一个替代的过程,以产生所需的超四维时空,它利用自对偶向量多重态。它提供了两种不同理论中手征作用量的最短推导:(i)N = 1旧最小超引力;(ii)N = 2共形超引力。本文首次提出了N = 2超形式构造。虽然我们的考虑仅限于四维的情况,但推广到更高维是合理的。

英文摘要:

The superform construction of supergravity actions, christened the "ectoplasm method," is based on the use of a closed super d-form in the case of d space-time dimensions. In known examples, such superforms are obtained by iteratively solving nontrivial cohomological problems. The latter usually makes this scheme no less laborious than the normal coordinate method for deriving component actions for matter-coupled supergravity. In this note we present an alternative procedure to generate required superforms in four space-time dimensions, which makes use of self-dual vector multiplets. It provides the shortest derivation of chiral actions in two different theories: (i) N = 1 old minimal supergravity; and (ii) N = 2 conformal supergravity. The N = 2 superform construction is developed here for the first time. Although our consideration is restricted to the case of four dimensions, a generalization to higher dimensions is plausible.

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。

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