English

The Dual Quark Models

High Energy Physics - Theory 2009-07-20 v1 Mathematical Physics math.MP Operator Algebras Representation Theory

Abstract

We briefly recall the historical environment around our 1971 and 1975 constructions of current-algebraic internal symmetry on the open string. These constructions included the introduction of world sheet fermions, the independent discovery of affine Lie algebra in physics (level one of affine su(3)), the first examples of the affine-Sugawara and coset constructions, and finally - from compactified spatial dimensions on the string - the first vertex-operator constructions of the fermions and level one of affine su(n).

Keywords

Cite

@article{arxiv.0907.2705,
  title  = {The Dual Quark Models},
  author = {K. Bardakci and M. B. Halpern},
  journal= {arXiv preprint arXiv:0907.2705},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T13:25:26.133Z