# 6d SCFTs, 5d dualities and Tao web diagrams

Hayashi, Hirotaka (0000 0001 1516 6626, grid.265061.6, Department of Physics, School of Science, Tokai University, 4-1-1 Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan) (0000000119578126, grid.5515.4, Departamento de Física Teórica and Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain) ; Kim, Sung-Soo (0000 0004 0369 4060, grid.54549.39, School of Physics, University of Electronic Science and Technology of China, No. 4, section 2, North Jianshe Road, Chengdu, Sichuan, 610054, China) (0000 0004 0610 5612, grid.249961.1, Korea Institute for Advanced Study, 85 Hoegi-ro Dongdaemun-gu, Seoul, 02455, Korea) ; Lee, Kimyeong (0000 0004 0610 5612, grid.249961.1, Korea Institute for Advanced Study, 85 Hoegi-ro Dongdaemun-gu, Seoul, 02455, Korea) ; Yagi, Futoshi (0000 0004 1791 7667, grid.263901.f, School of Mathematics, Southwest Jiaotong University, West zone, high-tech district, Chengdu, Sichuan, 611756, China) (0000 0004 0610 5612, grid.249961.1, Korea Institute for Advanced Study, 85 Hoegi-ro Dongdaemun-gu, Seoul, 02455, Korea)

30 May 2019

Abstract: We propose 5d descriptions of 6d N = 1 , 0 $\mathcal{N}=\left(1,\ 0\right)$ superconformal field theories arising from Type IIA brane configurations with an O8 − -plane. We T-dualize the brane diagram along a compactification circle and obtain a 5-brane web diagram with two O7 − - planes. The gauge theory description of the resulting 5d theory for a given 6d superconformal field theory is not unique, and we argue that the non-uniqueness leads to various dual 5d gauge theories. There are three sources which lead to the 5d dualities. One type comes from either resolving both or one of the two O7 − -planes. The two situations give us two different ways to read off a 5d gauge theory from essentially the same web diagram. The second type originates from different distributions of D5 or D7-branes, shifting the gauge group ranks of the 5d quiver theory. The last one comes from the 90 or 45 degree rotations of the 5-brane web diagram, which is a part of the SL(2, ℤ) duality of Type IIB string theory, leading to completely different group structure. These lead to a very rich class of dualities between 5d gauge theories whose UV completion is the same 6d superconformal field theory. We also explore Higgsing of the 6d theories and their 5d counterparts. Decoupling the same flavors from the dual 5d theories gives rise to another dual 5d theories whose UV completion is the same 5d superconformal field theory. Finally we propose the 6d description of 5d theories which is obtained by a generalization of 5d T N theories with additional flavors, which turns out not to be in the class of Type IIA brane construction generically.

Published in: JHEP 1905 (2019) 203