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arXiv 0911.0153hep-thgr-qc
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Einstein-Yang-Mills-Chern-Simons理论中的AdS_5解

AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory

Yves Brihaye, Eugen Radu, D. H. Tchrakian

备注：
21 pages, 8 figures; v3: typos corrected, minor changes; version to appear in PRD
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摘要：

研究了具有负宇宙学常数的Einstein-Yang-Mills-Chern-Simons系统在SO（6）规范群下的静态球对称解.对于一个特定的值的Chern-Simons系数，这个模型可以被看作是一个截断的五维最大规范超引力，我们希望在完整的模型中的解决方案的基本性质，坚持在这个截断。这两个全球定期，粒子状的解决方案和黑洞被认为是。与阿贝尔情形相反，陈-西蒙斯项的贡献在静态球对称极限中已经是非平凡的了。我们发现两种类型的解决方案：一般的配置，其磁规范场不消失不够快，在无穷远（虽然时空是渐近AdS），其质量函数是发散的，和特殊的配置，其存在依赖于陈-西蒙斯项，这是赋予有限的质量。在一般配置的情况下，我们认为，发散的质量意味着一个非零迹的应力张量的对偶d=4理论。

英文摘要：

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be viewed as a truncation of the five-dimensional maximal gauged supergravity and we expect that the basic properties of the solutions in the full model to persist in this truncation. Both globally regular, particle-like solutions and black holes are considered. In contrast with the Abelian case, the contribution of the Chern-Simons term is nontrivial already in the static, spherically symmetric limit. We find two types of solutions: the generic configurations whose magnetic gauge field does not vanish fast enough at infinity (although the spacetime is asymptotically AdS), whose mass function is divergent, and the special configurations, whose existence depends on the Chern--Simons term, which are endowed with finite mass. In the case of the generic configurations, we argue that the divergent mass implies a nonvanishing trace for the stress tensor of the dual d=4 theory.

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