Equivalence of several descriptions for 6d SCFT

DOI number:10.1007/jhep01(2017)093

Journal:Journal of High Energy Physics

Abstract:We show that the three different looking BPS partition functions, namely the elliptic genus of the 6d N=(1,0) Sp(1) gauge theory with 10 flavors and a tensor multiplet, the Nekrasov partition function of the 5d N=1 Sp(2) gauge theory with 10 flavors, and the Nekrasov partition function of the 5d N=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.

Note:The preprint version is available at https://arxiv.org/abs/1607.07786

Co-author:Hirotaka Hayashi,Sung-Soo Kim,Kimyeong Lee,Futoshi Yagi

Indexed by:SCI

Discipline:Science

Volume:01(2017)

Issue:093

Translation or Not:no

Date of Publication:2017-01-23

Included Journals:SCI

Links to published journals:https://doi.org/10.1007/jhep01(2017)093