SW(3/2,2) subsymmetry in G$_2$, Spin(7) and N=2 CFTs
Abstract
Spectral flow, spacetime supersymmetry, topological twists, chiral primaries related to marginal deformations, mirror symmetry: these are important consequences of the worldsheet N=2 superconformal symmetry of strings on Calabi-Yau manifolds. To various degrees of certainty, these features were also established when the target is either 7d or 8d with exceptional holonomy G or Spin(7) respectively. We show that these are more than mere analogies. We exhibit an underlying symmetry SW(3/2,2) making a bridge between the latter cases and K3 target spaces. Reviewing unitary representations of SW(3/2,2) leads us to speculate on further roles of this algebra in string theory compactifications and on the existence of topologically twisted versions of SW(3/2,2) theories.
Keywords
Cite
@article{arxiv.2001.10539,
title = {SW(3/2,2) subsymmetry in G$_2$, Spin(7) and N=2 CFTs},
author = {Marc-Antoine Fiset},
journal= {arXiv preprint arXiv:2001.10539},
year = {2020}
}
Comments
36 pages, 5 figures