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arXiv 0809.4603hep-thgr-qc
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AdS_{3}超引力(2,0)理论中的边界S-矩阵

Boundary S-matrix in a (2,0) theory of AdS_{3} Supergravity

Payal Kaura, Bindusar Sahoo

摘要:

我们将讨论标准(2,0)超引力作用量gr-qc/9501018的两种不等价的推广,以包括引力Chern-Simons项。一种是一阶形式,其中我们将ω_{M}^{ab}视为独立的;另一种是二阶形式,其中ω_{M}^{ab}通过标准约束方程由其他场确定。这两个理论有不同的运动方程和解决方案的运动方程的一阶理论的跨度只有一个子集的二阶理论。我们将感兴趣的计算边界S-矩阵,描述关联函数的对偶共形场论,在这个部门,因此,我们使用的运动方程出来的一阶理论。我们将自己限制在理论的规范+费米子扇区来计算边界S矩阵。我们还将研究高阶导数项对用标准超引力作用量得到的边界S-矩阵的影响。

英文摘要:

We will discuss two inequivalent generalizations of the standard (2,0) supergravity action gr-qc/9501018 to include gravitational Chern-Simons term. One is in the first order formalism where we treat ω_{M}^{ab} as independent and the other is in the second order formalism where ω_{M}^{ab} is determined in terms of other fields via a standard constraint equation. The two theories have different equations of motion and the solutions to the equations of motion of the first order theory spans only a subset of those of the second order theory. We will be interested in computing the boundary S-matrix, describing correlation functions in a dual conformal field theory, in this sector and hence we use the equations of motion coming out of the first order theory. We restrict ourselves to the gauge+fermionic sector of the theory to compute the boundary S-matrix. We will also look at the effect of higher derivative terms on the boundary S-matrix obtained using the standard supergravity action.

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