Introduction to localization in quantum field theory
Vasily Pestun, Maxim Zabzine

TL;DR
This paper introduces the concept of localization in quantum field theory, covering its history, applications in supersymmetric theories, and its significance across various dimensions, serving as an overview for the volume.
Contribution
It provides a comprehensive introduction to localization techniques in QFT, highlighting their development, applications, and role in supersymmetric theories.
Findings
Localization simplifies complex calculations in supersymmetric QFTs
Applications span diverse dimensions and geometries
The volume focuses on recent advances and methods in localization
Abstract
This is the introductory chapter to the volume. We review the main idea of the localization technique and its brief history both in geometry and in QFT. We discuss localization in diverse dimensions and give an overview of the major applications of the localization calculations for supersymmetric theories. We explain the focus of the present volume.
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