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首页> 外文学位 >Boundary conditions in asymptotically anti-de Sitter spacetime and the Anti-de Sitter/Conformal Field Theory correspondence.
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Boundary conditions in asymptotically anti-de Sitter spacetime and the Anti-de Sitter/Conformal Field Theory correspondence.

机译：渐近反德西特时空的边界条件和反德西特/保形场理论的对应关系。

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摘要

The properties of asymptotically anti-de Sitter spacetimes have been of much recent interest in light of a remarkable conjecture known as the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence. In this dissertation, we study general boundary conditions for various matter fields in asymptotically AdS spacetime, and discuss the implications of our results in the context of AdS/CFT. We begin by considering tachyonic scalar fields coupled to gravity in the so-called "designer-gravity" theories. We construct the Hamiltonian generators of asymptotic symmetries for such systems using the covariant phase space method and show that these charges are finite. Using a Witten-Nester style proof, we obtain a positive energy theorem under the conditions that the function W specifying the boundary conditions has a global minimum and that the scalar potential admits an appropriate superpotential. We then investigate boundary conditions for massive spin-1/2 fermions in exact AdS, and find that (as with scalars) for a special mass range there is a choice of boundary conditions at infinity. Using these results, we identify boundary conditions for combined scalar/fermion systems that preserve N = 1 supersymmetry on the boundary. Finally, we demonstrate similar results for spin-3/2 fields and further show that more general boundary conditions are allowed for any mass if one appropriately "renormalizes" the inner product. We then investigate supersymmetric boundary conditions for d = 4, N = 1 AdS supergravity in which the metric and Rarita-Schwinger fields are fluctuating at the boundary. We argue that the dual of such a theory is a 3-dimensional supergravity theory.
机译：渐近反德西特时空的性质已引起人们的极大关注，这是由于一个著名的猜想，即反德西特/共形场理论（AdS / CFT）对应。本文研究了渐近AdS时空中各种物质场的一般边界条件，并讨论了在AdS / CFT环境下我们的结果的含义。我们首先在所谓的“设计者引力”理论中考虑与重力耦合的速激标量场。我们使用协变相空间方法构造了此类系统的渐近对称性的哈密顿生成器，并证明了这些电荷是有限的。使用维滕-纳斯特（Witten-Nester）样式证明，在指定边界条件的函数W具有全局最小值且标量势能允许适当的超势的条件下，我们获得了正能量定理。然后，我们在精确的AdS中研究大量自旋1/2费米子的边界条件，发现对于特殊质量范围（与标量一样），可以选择无穷大的边界条件。利用这些结果，我们确定了标量/费米子组合系统的边界条件，该系统在边界上保持N = 1超对称。最后，我们证明了spin-3 / 2场的相似结果，并且进一步表明，如果一个质量适当地“重新规范化”内积，则对于任何质量都可以使用更一般的边界条件。然后，我们研究d = 4，N = 1 AdS超重力的超对称边界条件，其中度量和Rarita-Schwinger场在边界处波动。我们认为这种理论的对偶是3维超重力理论。

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  • 作者

    Amsel, Aaron Jesse.;

  • 作者单位

    University of California, Santa Barbara.;

  • 授予单位 University of California, Santa Barbara.;
  • 学科 Physics Theory.;Physics Elementary Particles and High Energy.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 244 p.
  • 总页数 244
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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