Adjoint Majorana QCD2 at finite N

Ross Dempsey, Igor R. Klebanov, Loki L. Lin, Silviu S. Pufu

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 g2N, where g is the gauge coupling, have very weak dependence on N. The coefficients of the 1/N2 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 g2N/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 languageEnglish (US)
Article number107
JournalJournal of High Energy Physics
Issue number4
StatePublished - Apr 2023

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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


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