# Rank-3 antisymmetric matter on 5-brane webs

Hayashi, Hirotaka (0000 0001 1516 6626, Department of Physics, School of Science, Tokai University, 4-1-1 Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan) ; Kim, Sung-Soo (0000 0004 0369 4060, School of Physics, University of Electronic Science and Technology of China, No.4, section 2, North Jianshe Road, Chengdu, Sichuan, 610054, China) ; Lee, Kimyeong (0000 0004 0610 5612, School of Physics, Korea Institute for Advanced Study, 85 Hoegi-ro Dongdaemun-gu, Seoul, 02455, Korea) ; Yagi, Futoshi (0000 0004 1791 7667, School of Mathematics, Southwest Jiaotong University, West zone, High-tech district, Chengdu, Sichuan, 611756, China)

27 May 2019

Abstract: We discuss Type IIB 5-brane configurations for 5d N = 1 $\mathcal{N}=1$ gauge theories with hypermultiplets in the rank-3 antisymmetric representation and with various other hypermultiplets, which flow from a UV fixed point at the infinite coupling. We propose 5-brane web diagrams for the theories of SU(6) and Sp(3) gauge groups with rank-3 antisymmetric matter and check our proposed 5-brane webs against several consistency conditions implied from the one-loop corrected prepotential. Using the obtained 5-brane webs for rank-3 antisymmetric matter, we apply the topological vertex method to compute the partition function for one of these SU(6) gauge theories.

Published in: JHEP 1905 (2019) 133