A Nilpotency Index of Conformal Manifolds
High Energy Physics - Theory
2020-10-29 v2
Abstract
We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.
Keywords
Cite
@article{arxiv.2003.04579,
title = {A Nilpotency Index of Conformal Manifolds},
author = {Zohar Komargodski and Shlomo S. Razamat and Orr Sela and Adar Sharon},
journal= {arXiv preprint arXiv:2003.04579},
year = {2020}
}
Comments
21 pages, 1 figure