From Spinning Primaries to Permutation Orbifolds
High Energy Physics - Theory
2018-05-09 v2
Abstract
We carry out a systematic study of primary operators in the conformal field theory of a free Weyl fermion. Using SO(4,2) characters we develop counting formulas for primaries constructed using a fixed number of fermion fields. By specializing to particular classes of primaries, we derive very explicit formulas for the generating functions for the number of primaries in these classes. We present a duality map between primary operators in the fermion field theory and polynomial functions. This allows us to construct the primaries that were counted. Next we show that these classes of primary fields correspond to polynomial functions on certain permutation orbifolds. These orbifolds have palindromic Hilbert series.
Cite
@article{arxiv.1801.10313,
title = {From Spinning Primaries to Permutation Orbifolds},
author = {Robert de Mello Koch and Phumudzo Rabambi and Hendrik J. R. Van Zyl},
journal= {arXiv preprint arXiv:1801.10313},
year = {2018}
}
Comments
v2: matches published version