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

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 $\mathcal{N}=1$ 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.

28+16 pages, 2 figures

References in corpus (8)

• Instanton counting with a surface operator and the chain-saw quiver
• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Instanton counting and O-vertex
• ABCD of qq-characters
• di-Langlands correspondence and extended observables
• Bispectral duality and separation of variables from surface defect transition
• Dimers for Type D Relativistic Toda Model
• New dimer integrable systems and defects in five dimensional gauge theory

Cited by in corpus (1)

• O-vertex, O7${}^{+}$-plane, and Topological Vertex