The BRST-invariant effective action of shadows, conformal fields, and the AdS/CFT correspondence
The BRST-invariant effective action of shadows, conformal fields, and the AdS/CFT correspondence
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阴影、共形场和 AdS/CFT 对应的 BRST 不变有效作用
DOI：
10.1007/s11232-014-0235-1
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发表时间：
2014
影响因子：
1
通讯作者：
R. R. Metsaev
中科院分区：
文献类型：
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作者：
R. R. Metsaev
研究了在反德西特空间中传播的完全对称、任意自旋、无质量场和有质量场。利用这类域的de donder型规范，我们得到了全局BRST变换下的拉格朗日不变量。利用这个拉格朗日量计算了真空配分函数和有效作用。我们证明了带Dirichlet边值问题的运动场方程的非归一化解的有效作用与阴影的brst不变有效作用是一致的。在无质量场的情况下，有效作用的对数散度可以得到任意自旋共形场的brst不变拉格朗日量的简单表达式。我们证明了在共形场的brst不变作用中出现的Nakanishi-Lautrup场可以几何上解释为反德西特空间中无质量场的边界值。
We study the completely symmetric, arbitrary-spin, massless and massive fields propagating in anti-de Sitter space. Using the de Donder-type gauge for such fields, we obtain a Lagrangian invariant under the global BRST transformations. We use this Lagrangian to calculate the vacuum partition function and the effective action. We show that the effective action calculated for the nonnormalizable solution of the field equations of motion with the Dirichlet boundary value problem coincides with the BRST-invariant effective action of a shadow. In the case of massless fields, the logarithmic divergence of the effective action results in a simple expression for the BRST-invariant Lagrangian of an arbitrary-spin conformal field. We show that the Nakanishi-Lautrup fields appearing in the BRST-invariant action of conformal fields can be interpreted geometrically as the boundary values of massless fields in anti-de Sitter space.