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arXiv 0810.0527hep-th
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具有一般物质耦合的五维规范超引力的超对称解

Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings

Jorge Bellorin

摘要:

我们执行的表征程序的超对称配置和解决方案的$\mathcal{N}=1$,$d=5$超引力理论耦合到任意数量的矢量,张量和超多重态和一般的非阿贝尔规范。利用该程序所给出的条件,在以$SU(2)\times U(1)$为规范群的超标量$SO(4,1)/SO(4)$模型中找到了新的精确超对称解.这些解还包含非平凡矢量场和质量张量场,后者在规范群的U(1)扇区下带电,并具有自对偶空间分量。这些解决方案是黑洞与$AdS_2 \times S^3$近视界几何规范版本的理论和非规范的情况下,我们发现裸奇点。我们还分析了超对称的解决方案,只有标量$ϕ^x$的向量/张量多重和度量的非平凡领域。我们发现,只有在空类的标量$ϕ^x$可以是非恒定的和恒定的情况下,$ϕ^x$,我们细化的分类的贡献的标量势。

英文摘要:

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general non-Abelian gaugins. By using the conditions yielded by the characterization program, new exact supersymmetric solutions are found in the $SO(4,1)/SO(4)$ model for the hyperscalars and with $SU(2)\times U(1)$ as the gauge group. The solutions also content non-trivial vector and massive tensor fields, the latter being charged under the U(1) sector of the gauge group and with selfdual spatial components. These solutions are black holes with $AdS_2 \times S^3$ near horizon geometry in the gauged version of the theory and for the ungauged case we found naked singularities. We also analyze supersymmetric solutions with only the scalars $ϕ^x$ of the vector/tensor multiplets and the metric as the non-trivial fields. We find that only in the null class the scalars $ϕ^x$ can be non-constant and for the case of constant $ϕ^x$ we refine the classification in terms of the contributions to the scalar potential.

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