Top down approach to 6D SCFTs
Abstract
Sixdimensional (6D) superconformal field theories (SCFTs) occupy a central place in the study of quantum field theories encountered in high energy theory. This article reviews the top down construction and study of this rich class of quantum field theories, in particular, how they are realized by suitable backgrounds in string/M/Ftheory. We review the recent Ftheoretic classification of 6D SCFTs, explain how to calculate physical quantities of interest such as the anomaly polynomial of 6D SCFTs, and also explain recent progress in understanding renormalization group flows for deformations of such theories. Additional topics covered by this review include some discussion on the (weighted and signed) counting of states in these theories via superconformal indices. We also include several previously unpublished results as well as a new variant on the swampland conjecture for general quantum field theories decoupled from gravity. The aim of the article is to provide a point of entry into this growing literature rather than an exhaustive overview.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2019
 DOI:
 10.1088/17518121/aafc81
 arXiv:
 arXiv:1805.06467
 Bibcode:
 2019JPhA...52i3001H
 Keywords:

 sixdimensional superconformal field theories;
 quantum field theories;
 high energy theory;
 High Energy Physics  Theory;
 Mathematics  Algebraic Geometry;
 Mathematics  Representation Theory
 EPrint:
 v4: 122 pages, 4 figures, further typos corrected