Vacua of supersymmetric Yang-Mills quantum mechanics

TL;DR

This paper explores the structure of vacua and condensates in three-dimensional supersymmetric Yang-Mills quantum mechanics, providing a recent quantitative solution to understand its non-trivial properties inherited from the original field theory.

Contribution

It offers a detailed analysis of the supersymmetric vacua and condensates in the 3D SYMQM, including a recent quantitative solution revealing new insights.

Findings

Characterization of supersymmetric vacua

Analysis of condensate structures

Recent quantitative solution of the model

Abstract

Reducing Supersymmetric Yang-Mills Field Theory to a single point in the three dimensional space results in the Supersymmetric Yang-Mills Quantum Mechanics (SYMQM) which basically is the effective quantum mechanics of zero momentum modes of the original theory. Such a system is still quite non-trivial and usually inherits many properties of the original field theory. In this talk some beautiful features of the three-dimensional model will be reviewed and illustrated with the aid of the recent, quantitative solution. In particular the structure of the supersymmetric vacua and condensates will be discussed.