arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1306.1540hep-thgr-qc
收藏

五维N=2超引力中的所有离壳R^2不变量

All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity

Mehmet Ozkan, Yi Pang

摘要:

我们构造了具有八个超荷的五维超引力中各种曲率平方项的超对称完备化。利用Weyl多重态,我们得到了最小离壳超对称Ricci标量平方以及所有向量多重态耦合曲率平方不变量.由于之前已经得到了膨胀Weyl多重态的最小离壳超对称Riemann张量平方和Gauss-Bonnet组合,因此膨胀Weyl多重态的最小离壳和向量多重态耦合曲率平方不变量都是完备的.我们还利用标准Weyl多重态构造了一个离壳Ricci标量平方不变量。通过构造将标准Weyl多重峰中的超对称Ricci标量平方耦合到n个向量多重峰上,并使非常特殊的几何变形。我们发现,在超对称AdS_5真空中,定义在模空间上的特殊几何被简单地修正了.最后,我们研究了超对称Ricci标量平方下的磁弦和电黑洞解。

英文摘要:

We construct supersymmetric completions of various curvature squared terms in five dimensional supergravity with eight supercharges. Adopting the dilaton Weyl multiplet, we obtain the minimal off-shell supersymmetric Ricci scalar squared as well as all vector multiplets coupled curvature squared invariants. Since the minimal off-shell supersymmetric Riemann tensor squared and Gauss-Bonnet combination in the dilaton Weyl multiplet have been obtained before, both the minimal off-shell and the vector multiplets coupled curvature squared invariants in the dilation Weyl multiplet are complete. We also constructed an off-shell Ricci scalar squared invariant utilizing the standard Weyl multiplet. The supersymmetric Ricci scalar squared in the standard Weyl multiplet is coupled to n number of vector multiplets by construction, and it deforms the very special geometry. We found that in the supersymmetric AdS_5 vacuum, the very special geometry defined on the moduli space is modified in a simple way. Finally, we study the magnetic string and electric black hole solutions in the presence of supersymmetric Ricci scalar squared.

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。

↑