Superconformal Blocks for SCFTs with Eight Supercharges
High Energy Physics - Theory
2017-07-18 v3
Abstract
We show how to treat the superconformal algebras with eight Poincar\'e supercharges in a unified manner for spacetime dimension . This formalism is ideally suited for analyzing the quadratic Casimir operator of the superconformal algebra and its use in deriving superconformal blocks. We illustrate this by an explicit construction of the superconformal blocks, for any value of the spacetime dimension, for external protected scalar operators which are the lowest component of flavor current multiplets.
Cite
@article{arxiv.1705.08594,
title = {Superconformal Blocks for SCFTs with Eight Supercharges},
author = {Nikolay Bobev and Edoardo Lauria and Dalimil Mazac},
journal= {arXiv preprint arXiv:1705.08594},
year = {2017}
}
Comments
20+9 pages, v2: references added, v3: added closed formulas for the hypermultiplet decomposition