Twistor SIGMA Models: Gravity, Amplitudes, and Flat Space Holography
暫譯: Twistor SIGMA 模型：重力、振幅與平坦空間全息學

Sharma, Atul

Twistor SIGMA Models: Gravity, Amplitudes, and Flat Space Holography
  • 出版商: Springer
  • 出版日期: 2025-02-04
  • 售價: $6,690
  • 貴賓價: 9.5 折 $6,356
  • 語言: 英文
  • 頁數: 128
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031507533
  • ISBN-13: 9783031507533
  • 相關分類: 物理學 Physics

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商品描述

In recent decades, twistor theory has grown into an irreplaceable tool for the study of scattering amplitudes in gauge theory and gravity. This book introduces the reader to cutting-edge advances in twistor theory and its applications to general relativity. The problem of graviton scattering in four dimensions is shown to be dual to dramatically simpler computations in a two-dimensional CFT known as a twistor sigma model. Twistor sigma models are the first step toward a holographic description of gravity in asymptotically flat space-times. They underpin the infinitely many asymptotic symmetries of flat space physics discovered in celestial holography, and extend them to exciting new arenas like curved space-times. They also yield intrinsically mathematical results in the field of hyperkähler manifolds. This volume will be of broad interest to students and researchers looking for an accessible entry point into twistor geometry, scattering amplitudes, and celestial holography. It will also provide an invaluable reference for specialists by bringing together results from a host of different disciplines.

商品描述(中文翻譯)

在最近幾十年中，扭子理論已成為研究規範理論和重力中散射振幅的不可或缺的工具。本書向讀者介紹了扭子理論的前沿進展及其在廣義相對論中的應用。四維中的重子散射問題被顯示為與一種稱為扭子σ模型的二維共形場論（CFT）中的計算有著驚人簡單的對偶關係。扭子σ模型是朝向在漸近平坦時空中重力的全息描述的第一步。它們支撐著在天體全息學中發現的無限多個平坦空間物理的漸近對稱性，並將其擴展到如曲率時空等令人興奮的新領域。它們還在超凱勒流形的領域中產生了內在的數學結果。本卷將對尋求進入扭子幾何、散射振幅和天體全息學的學生和研究人員具有廣泛的興趣。它還將通過匯集來自多個不同學科的結果，為專家提供寶貴的參考資料。

作者簡介

Atul Sharma is a leading expert in the study of scattering amplitudes and twistor theory. He currently holds a Black Hole Initiative postdoctoral fellowship at Harvard University, where he works on the hunt for flat space holography. He graduated B.Sc. from the Indian Institute of Science, Bangalore in 2017, following which he obtained an MASt in Applied Mathematics from the University of Cambridge and a D.Phil. in Mathematics from the University of Oxford. His work tackles scattering amplitudes in gauge theory and gravity, with a special emphasis on decoding hidden mathematical structures. It has helped in building top-down models of celestial holography, discovering remarkable formulae for amplitudes in curved backgrounds, and understanding the asymptotic symmetries of nature. He has also worked on applications of twistor theory to complex algebraic geometry, developing many new techniques that form a core part of this thesis.

作者簡介(中文翻譯)

Atul Sharma 是散射振幅和扭子理論研究的領先專家。他目前在哈佛大學擔任黑洞倡議的博士後研究員，專注於平坦空間全息理論的研究。他於2017年從印度科學院班加羅爾分校獲得理學士學位，隨後在劍橋大學獲得應用數學的碩士學位，並在牛津大學獲得數學的博士學位。他的研究涉及規範理論和重力中的散射振幅，特別強調解碼隱藏的數學結構。這些研究有助於建立天體全息理論的自上而下模型，發現曲背景下振幅的顯著公式，並理解自然的漸近對稱性。他還研究了扭子理論在複代數幾何中的應用，開發了許多新技術，這些技術構成了他論文的核心部分。

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