All off-shell R2 invariants in five dimensional $ mathcal{N}=2 $ supergravity
All off-shell R2 invariants in five dimensional $ mathcal{N}=2 $ supergravity
复制标题
五维中所有离壳 R2 不变量 $ mathcal{N}=2 $ 超引力
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Y. Pang
中科院分区：
文献类型：
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作者：
M. Ozkan;Y. Pang
本文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.由于在此之前已经得到了Weyl多重态的最小离壳超对称Riemann张量平方和Gauss-Bonnet组合，因此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，模空间上定义的非常特殊的几何以一种简单的方式被修改。最后，我们研究了超对称Ricci标量平方下的磁弦和电黑洞解。
A bstractWe 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 super- symmetric 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 dilaton 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 AdS5 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.