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arXiv · 1303.1443

Extended global symmetries for 4d N=1 SQCD theories

Ilmar Gahramanov·Grigory Vartanov
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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.

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Ilmar Gahramanov, Grigory Vartanov. 2013-03-06. Extended global symmetries for 4d N=1 SQCD theories. https://doi.org/10.1088/1751-8113/46/28/285403

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