Localization techniques in quantum field theories

2016/08/31 by Vasily Pestun, Maxim Zabzine, Francesco Benini +17 · 18 citations
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8121/aa63c1

The complete volume can be downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf

arxiv created 2016/10/13 · arxiv updated 2017/10/25

Abstract

This is the foreword to the special volume on localization techniques in quantum field theory. We summarize the individual chapters and their relation.

Cited by

• Introduction to localization in quantum field theory
• Review of localization in geometry
• Supersymmetric localization in two dimensions
• Gromov-Witten invariants and localization
• An introduction to supersymmetric field theories in curved space
• Localization on three-dimensional manifolds
• Localization at large N in Chern-Simons-matter theories
• The F-Theorem and F-Maximization
• Perturbative and nonperturbative aspects of complex Chern-Simons Theory
• N=2 SUSY gauge theories on S⁴
• Localization and AdS/CFT Correspondence
• A brief review of the 2d/4d correspondences *
• The supersymmetric index in four dimensions *
• Review of localization for 5d supersymmetric gauge theories *
• Matrix models for 5d super Yang-Mills
• Holomorphic blocks and the 5d AGT correspondence
• Indices for 6 dimensional superconformal field theories
• Constants in Sequences of M2-brane Partition Functions