Defects and type D relativistic Toda lattice for some 5d gauge theories

Abstract

Abstract We perform folding on the ADHM construction of the instanton moduli space from SU to SO group. A Young diagram description for the SO instanton is obtained after modifying the real and complex moment maps of the ADHM data. We study the Bethe gauge correspondence between type D relativistic Toda lattice and 5d N $$ \mathcal{N} $$ = 1 folded theory. In particular we prove that the regular monodromy defect in the folded gauge theory is the stationary wavefunction of the type D relativistic Toda lattice.

Keywords

• Bethe Ansatz
• Lattice Integrable Models
• Solitons Monopoles and Instantons
• Supersymmetric Gauge Theory