On 4d rank-one N=3 superconformal field theories
High Energy Physics - Theory
2016-10-12 v1
Abstract
We study the properties of 4d N=3 superconformal field theories whose rank is one, i.e. those that reduce to a single vector multiplet on their moduli space of vacua. We find that the moduli space can only be of the form C^3/Z_k for k=1,2,3,4,6, and that the supersymmetry automatically enhances to N=4 for k=1,2. In addition, we determine the central charges a and c in terms of k, and construct the associated 2d chiral algebras, which turn out to be exotic N=2 supersymmetric W-algebras.
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Cite
@article{arxiv.1602.01503,
title = {On 4d rank-one N=3 superconformal field theories},
author = {Takahiro Nishinaka and Yuji Tachikawa},
journal= {arXiv preprint arXiv:1602.01503},
year = {2016}
}
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24 pages