Two-dimensional super Yang-Mills theory investigated with improved resolution

TL;DR

This paper investigates the spectrum and particle composition of two-dimensional super Yang-Mills theories using improved resolution techniques, providing detailed insights into their mass distribution and supersymmetry preservation.

Contribution

The study applies the SDLCQ method with enhanced resolution to analyze the spectrum and fermion-boson balance in 2D super Yang-Mills theories, advancing understanding of their properties.

Findings

Spectrum exhibits a distinctive mass distribution pattern

Average parton number increases in bound states

Fermion and boson counts are equal in each symmetry sector

Abstract

In earlier work, N=(1,1) super Yang--Mills theory in two dimensions was found to have several interesting properties, though these properties could not be investigated in any detail. In this paper we analyze two of these properties. First, we investigate the spectrum of the theory. We calculate the masses of the low-lying states using the supersymmetric discrete light-cone (SDLCQ) approximation and obtain their continuum values. The spectrum exhibits an interesting distribution of masses, which we discuss along with a toy model for this pattern. We also discuss how the average number of partons grows in the bound states. Second, we determine the number of fermions and bosons in the N=(1,1) and N=(2,2) theories in each symmetry sector as a function of the resolution. Our finding that the numbers of fermions and bosons in each sector are the same is part of the answer to the question of why the SDLCQ approximation exactly preserves supersymmetry.