Integrability and scattering amplitudes in supersymmetric theories

该研究计划侧重于超对称理论的中心性质，并处于理论物理的前沿，利用一些最新的概念和技术发展。特别是，该项目涉及一种令人兴奋的全新思维方式，即最大超对称杨-米尔斯理论的可积性及其与散射振幅的关系，并着眼于将这种新观点应用于超引力和弦理论。我的建议的一个补充主题是研究超对称领域的新数学工具对QCD振幅的可能影响。拟议的调查将提供实质性的进展，我们的理解超对称理论，在我们的能力，计算振幅，也应该导致重大进展，理解现实的理论和发展技术分析粒子对撞机数据。

The research plan focusses on central properties of supersymmetric theories and is placed at the cutting edge of theoretical physics, making use of some of the most recent conceptual and technical developments. In particular, the project concerns an exciting and completely new way of thinking about the integrability of maximally supersymmetric Yang-Mills theory and its relation to scattering amplitudes, with an eye to the application of this novel perspective to supergravity and string theory. A complementary theme of my proposal consists in studying the possible implications of the new mathematical tools of the supersymmetric realm to QCD amplitudes. The proposed investigation will provide substantial progress in our understanding of supersymmetric theories, in our ability to compute amplitudes and should also lead to major advances in understanding realistic theories and developing techniques for analysing particle-collider data.