Peierls model and vacuum structure in N=2 supersymmetric gauge theories

TL;DR

This paper explores the integrable structure of N=2 supersymmetric Yang-Mills theory through a quasiparticle perspective, linking BPS states, D-branes, and phase transitions.

Contribution

It introduces a quasiparticle framework for understanding the integrable structure and vacuum phenomena in N=2 SYM theory, connecting it with D-brane interpretations.

Findings

Proposes a quasiparticle picture for the integrable structure.

Links BPS states with D-brane interpretations.

Conjectures a temperature-induced phase transition.

Abstract

We suggest the quasiparticle picture behind the integrable structure of N=2 SYM theory,which arises if the Lax operator is considered as a Hamiltonian for the fermionic system. We compare the meaning of BPS states with the one coming from the D-brane interpretation and give some evidence for the compositeness of the selfdual strings. The temperature phase transition with the disappearance of the mass gap is conjectured.