N=7超重力中之優化漸進表現以及BCFW

Abstract

本論文概覽重力理論中計算散射振幅的新發展，並且針對一種新的計算方法做探討。我們首先回顧旋量-螺度理論、在殼超重力以及在殼遞迴式的理論基礎。之後我們重點討論使用BCFW遞迴式對於超重力振幅的計算。特别是我們呈現一種基於N=7超重力中BCFW遞迴式的散射振幅展開式。這個表示式能夠顯現重力振幅在特定高能量極限下優化的表現。這是尋找重力振幅的自然構件所踏出的初步研究，其終極目標是揭露重力的結構，以其建構能顯現其隱藏對稱性的描述。

This thesis reviews some aspects of the modern developments in calculation methods and assesses a new expression for scattering amplitudes in gravity. We first revisit the basics of spinor helicity formalism, on-shell superspace, and on-shell recursion relations. Special focus is then given to calculating supergravity amplitudes using BCFW recursion relations. In particular, we present an expansion in the form of a BCFW representation in N=7 supergravity which can manifest bonus behavior of gravity amplitudes under certain high energy limits. This is a initial step in search of natural building blocks for supergravity amplitudes, taken with the eventual goal of uncovering the structure of gravity and providing a description that can manifest its hidden symmetries.