Instanton Particles and Monopole Strings in 5D SU(2) Supersymmetric Yang-Mills Theory

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for M theory in the background of the toric Calabi-Yau threefold KF0. This encodes the refined Bogomol'nyi-Prasad-Sommerfield spectrum of SU(2) 5D N = 1 Yang-Mills theory on S-1 x R-4, corresponding to rank-zero Donaldson-Thomas invariants for K-F0, anywhere on the Coulomb branch.

Automated summary

The paper presents a closed-form expression for the motivic Kontsevich-Soibelman invariant for M theory on the toric Calabi-Yau threefold KF0, encoding the refined Bogomol'nyi-Prasad-Sommerfield spectrum of SU(2) 5D N = 1 Yang-Mills theory on S-1 x R-4, corresponding to rank-zero Donaldson-Thomas invariants for K-F0, anywhere on the Coulomb branch.