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

Abstract

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for $M$ theory in the background of the toric Calabi-Yau threefold ${K}_{{\mathrm{F}}_{0}}$. This encodes the refined Bogomol'nyi-Prasad-Sommerfield spectrum of SU(2) 5D $\mathcal{N}=1$ Yang-Mills theory on ${S}^{1}\ifmmode\times\else\texttimes\fi{}{\mathbb{R}}^{4}$, corresponding to rank-zero Donaldson-Thomas invariants for ${K}_{{\mathrm{F}}_{0}}$, anywhere on the Coulomb branch.

Topics & Concepts