arXiv 1208.48012012-08hep-th

N=2超重力平衡项，关闭和打开外壳

N=2 Supergravity Counterterms, Off and On Shell

W. Chemissany, S. Ferrara, R. Kallosh, C. S. Shahbazi

备注：: 20 pages, 3 tables. Acknowledgments added. arXiv admin note: text overlap with arXiv:1010.2150 by other authors
DOI：: 10.1007/JHEP12(2012)089

摘要：

利用N = 2的超共形框架，研究了N=2的超引力场通过$λR^4$项的真正超对称完备而变形.规范固定的超共形模型具有不破缺的N=2超引力局部超对称性和高导数形变。辅助场的消除导致超对称规则的变形以及作用量的变形，这成为具有更高导数型作用量的Born-Infeld。我们发现引力子超对称形变是从$λ\, \pa^4 {\cal F}^3$开始的，并且具有较高的引力光子耦合。在行动中有条款$λ^2 \pa^8 {\cal F}^{6}$和更高的，除了原来的对壳counterterm变形。这些变形在壳上超空间和N=4的候选壳上反项中是不存在的，~8超引力，截断到N=2。因此，我们得出结论，在壳超空间上未变形的候选反项破坏了局部超对称的N=2部分。

英文摘要：

We study N=2 supergravity deformed by a genuine supersymmetric completion of the $λR^4$ term, using the underlying off shell N=2 superconformal framework. The gauge-fixed superconformal model has unbroken local supersymmetry of N=2 supergravity with higher derivative deformation. Elimination of auxiliary fields leads to the deformation of the supersymmetry rules as well as to the deformation of the action, which becomes a Born-Infeld with higher derivative type action. We find that the gravitino supersymmetry deformation starts from $λ\, \pa^4 {\cal F}^3$ and has higher graviphoton couplings. In the action there are terms $λ^2 \pa^8 {\cal F}^{6}$ and higher, in addition to original on shell counterterm deformation. These deformations are absent in the on shell superspace and in the candidate on shell counterterms of N=4,~8 supergravities, truncated down to N=2. We conclude therefore that the undeformed on shell superspace candidate counterterms break the N=2 part of local supersymmetry.

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