Equivalence of several descriptions for 6d SCFT

DOI10.1007/JHEP01(2017)093zbMATH Open1373.83105arXiv1607.07786WikidataQ58815990 ScholiaQ58815990MaRDI QIDQ1678895

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Publication date: 7 November 2017

Published in: (Search for Journal in Brave)

Abstract: We show that the three different looking BPS partition functions, namely the elliptic genus of the 6d $mathcalN=(1,0)$ $Sp(1)$ gauge theory with $10$ flavors and a tensor multiplet, the Nekrasov partition function of the 5d $mathcalN=1$ $Sp(2)$ gauge theory with $10$ flavors, and the Nekrasov partition function of the 5d $mathcalN=1$ $SU(3)$ gauge theory with $10$ flavors, are all equal to each other under specific maps among gauge theory parameters. This result strongly suggests that the three gauge theories have an identical UV fixed point. Type IIB 5-brane web diagrams play an essential role to compute the $SU(3)$ Nekrasov partition function as well as establishing the maps.

Full work available at URL: https://arxiv.org/abs/1607.07786

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