Spectroscopy of two dimensional N=2 Super Yang Mills theory

TL;DR

This paper investigates the properties of two-dimensional N=2 Super Yang Mills theory using lattice simulations, focusing on preserving symmetries to accurately compute the mass spectrum and compare with effective theories.

Contribution

It introduces a lattice formulation of 2D N=2 Super Yang Mills theory derived from 4D, maintaining R symmetry to facilitate continuum limit and spectrum calculations.

Findings

Successful preservation of R symmetry enables accurate continuum limit extrapolation.

Computed mass spectrum aligns with predictions from effective field theories.

Demonstrated the viability of lattice methods for supersymmetric gauge theories.

Abstract

Albeit the standard model is the most successful model of particles physics, it still has some theoretical shortcomings, for instance the hierarchy problem, the absence of dark matter, etc. Supersymmetric extensions of the standard model could be a possible solution to these problems. One of the building blocks of these supersymmetric models are supersymmetric gauge theories. It is expected that they exhibit interesting features like confinement, chiral symmetry breaking, magnetic monopoles and the like. We present new results on N=2 Super Yang Mills theory in two dimensions. The lattice action is derived by a dimensional reduction of the N=1 Super Yang Mills theory in four dimensions. By preserving the R symmetry of the four dimensional model we can exploit Ward identities to fine tune our parameters of the model to obtain the chiral and supersymmetric continuum limit. This allows us to calculate the mass spectrum at the physical point and compare these results with effective field theories.