arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1105.6045hep-th
收藏

具有未淬灭味的Chern-Simons物质理论的引力对偶

On the gravity dual of Chern-Simons-matter theories with unquenched flavor

Eduardo Conde, Alfonso V. Ramallo

备注：
37 pages+ appendices, 1 figure; v2: minor changes; v3: typos corrected. arXiv admin note: text overlap with arXiv:1209.6617 by other authors
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们发现IIA型超引力的解决方案，这是双重的三维陈-西蒙斯物质理论与非淬灭领域的基本表示的规范群（口味）。在全息对偶中，味的添加是通过D 6-膜来完成的，这些膜沿着闵可夫斯基规范理论的方向延伸，并且在内部空间中以这样一种方式离域，即系统是N=1超对称的，味群是阿贝尔的。对于无质量的味，相应的几何形式为乘积空间AdS_4 × M_6，其中M_6是一个6维紧致流形，其度量是通过用适当的常数因子压缩CP ^[3]的富比尼-斯图迪度量得到的，常数因子取决于味的个数。我们计算动力学夸克在几个可观的效果，在某些情况下，我们比较我们的结果与本地化味膜产生的N=3超引力解。我们还展示了如何推广我们的结果，包括大量的口味。

英文摘要：

We find solutions of type IIA supergravity which are dual to three-dimensional Chern-Simons-matter theories with unquenched fields in the fundamental representation of the gauge group (flavors). In the holographic dual the addition of flavor is performed by means of D6-branes that are extended along the Minkowski gauge theory directions and are delocalized in the internal space in such a way that the system is N=1 supersymmetric and the flavor group is abelian. For massless flavors the corresponding geometry has the form of a product space AdS_4x M_6, where M_6 is a six-dimensional compact manifold whose metric is obtained by squashing the Fubini-Study metric of CP^3 with suitable constant factors which depend on the number of flavors. We compute the effect of dynamical quarks in several observables and, in some cases, we compare our results with the ones corresponding to the N=3 supergravity solutions generated by localized flavor branes. We also show how to generalize our results to include massive flavors.

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。

↑