Tinkertoys for the Twisted D-Series
Abstract
We study 4D N=2 superconformal field theories that arise from the compactification of 6D N=(2,0) theories of type D_N on a Riemann surface, in the presence of punctures twisted by a Z_2 outer automorphism. Unlike the untwisted case, the family of SCFTs is in general parametrized, not by M_{g,n}, but by a branched cover thereof. The classification of these SCFTs is carried out explicitly in the case of the D_4 theory, in terms of three-punctured spheres and cylinders, and we provide tables of properties of twisted punctures for the D_5 and D_6 theories. We find realizations of Spin(8) and Spin(7) gauge theories with matter in all combinations of vector and spinor representations with vanishing beta-function, as well as Sp(3) gauge theories with matter in the 3-index traceless antisymmetric representation.
Cite
@article{arxiv.1309.2299,
title = {Tinkertoys for the Twisted D-Series},
author = {Oscar Chacaltana and Jacques Distler and Anderson Trimm},
journal= {arXiv preprint arXiv:1309.2299},
year = {2022}
}
Comments
75 pages, 270 figures