Published for SISSA by Springer Received: October 26, 2016 Revised: March 14, 2017 Accepted: March 25, 2017 Published: April 10, 2017 Instanton operators and the Higgs branch at infinite JHEP04(2017)042 coupling Stefano Cremonesi,a Giulia Ferlito,b Amihay Hananyb and Noppadol Mekareeyac aDepartment of Mathematics, King's College London, The Strand, London WC2R 2LS, U.K. bTheoretical Physics Group, Imperial College London, Prince Consort Road, London, SW7 2AZ, U.K. cTheory Division, Physics Department, CERN, CH-1211, Geneva 23, Switzerland E-mail:
[email protected],
[email protected],
[email protected],
[email protected] Abstract: The richness of 5d N = 1 theories with a UV fixed point at infinite coupling is due to the existence of local disorder operators known as instanton operators. By consid- ering the Higgs branch of SU(2) gauge theories with Nf ≤ 7 flavours at finite and infinite coupling, we write down the explicit chiral ring relations between instanton operators, the glueball superfield and mesons. Exciting phenomena appear at infinite coupling: the glue- ball superfield is no longer nilpotent and the classical chiral ring relations are quantum corrected by instanton operators bilinears. We also find expressions for the dressing of instanton operators of arbitrary charge. The same analysis is performed for USp(2k) with an antisymmetric hypermultiplet and pure SU(N) gauge theories. Keywords: Nonperturbative Effects, Solitons Monopoles and Instantons, Supersymmet- ric Gauge Theory ArXiv ePrint: 1505.06302