Lectures on chiral algebras of N \geqslant 2 superconformal field theories

2020/06/24 by Madalena Lemos, Lemos, Madalena
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2006.13892

openalex publication_date 2020/06/24 · openalex created_date 2020/07/02 · openalex updated_date 2026/07/28

Abstract

Any four-dimensional N \geqslant 2 superconformal field theory possess a protected subsector isomorphic to a two-dimensional chiral algebra \citeBeem:2013sza. The goal of these lectures is to provide an introduction to the subject, covering the construction of the chiral algebras, the consequences for four-dimensional physics, as well as a brief summary of recent progress. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.

Citations

• Holomorphic reduction of N=2 gauge theories, Wilson-'t Hooft operators, and S-duality
• Conformal field theory on the plane

Related

• Chiral algebra from worldsheet
• Superconformal symmetry and representations
• Two Dimensional Conformal Field Theory and a Primer to Chiral Algebras
• Superconformal algebras and holomorphic field theories
• Structure of the N=4 chiral algebra