## Abstract

The mass spectrum of 1 + 1-dimensional SU(N) gauge theory coupled to a Majorana fermion in the adjoint representation has been studied in the large N limit using Light-Cone Quantization. Here we extend this approach to theories with small values of N, exhibiting explicit results for N = 2, 3, and 4. In the context of Discretized Light-Cone Quantization, we develop a procedure based on the Cayley-Hamilton theorem for determining which states of the large N theory become null at finite N. For the low-lying bound states, we find that the squared masses divided by g^{2}N, where g is the gauge coupling, have very weak dependence on N. The coefficients of the 1/N^{2} corrections to their large N values are surprisingly small. When the adjoint fermion is massless, we observe exact degeneracies that we explain in terms of a Kac-Moody algebra construction and charge conjugation symmetry. When the squared mass of the adjoint fermion is tuned to g^{2}N/π, we find evidence that the spectrum exhibits boson-fermion degeneracies, in agreement with the supersymmetry of the model at any value of N.

Original language | English (US) |
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Article number | 107 |

Journal | Journal of High Energy Physics |

Volume | 2023 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2023 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

- 1/N Expansion
- Confinement
- Field Theories in Lower Dimensions
- Gauge Symmetry

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