Extended global symmetries for 4d N=1 SQCD theories
High Energy Physics - Theory
2013-07-01 v2
Abstract
In arXiv:0811.1909 Spiridonov and Vartanov, using the superconformal index technique, found that 4-dimensional N=1 SQCD theory with SU(2) gauge group and four flavors has 72 dual representations. Recently in arXiv:1209.1404 the authors showed that these dual theories, when coupled to 5d hypermultiplets with specific boundary conditions have an extended E_7 global symmetry. In this work we find that for a reduced theory with 3 flavors the explicit SU(6) global symmetry is enhanced to an E_6 symmetry in the presence of 5d hypermultiplets. We also show connections between indices of different theories in 3 and 4 dimensions.
Keywords
Cite
@article{arxiv.1303.1443,
title = {Extended global symmetries for 4d N=1 SQCD theories},
author = {Ilmar Gahramanov and Grigory Vartanov},
journal= {arXiv preprint arXiv:1303.1443},
year = {2013}
}
Comments
12 pages. V2: misprints corrected