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Quantum K theory rings of partial flag manifolds

High Energy Physics - Theory 2024-02-08 v2

Abstract

In this paper we use three-dimensional gauged linear sigma models to make physical predictions for Whitney-type presentations of equivariant quantum K theory rings of partial flag manifolds, as quantum products of universal subbundles and various ratios, extending previous work for Grassmannians. Physically, these arise as OPEs of Wilson lines for certain Chern-Simons levels. We also include a simplified method for computing Chern-Simons levels pertinent to standard quantum K theory.

Keywords

Cite

@article{arxiv.2306.11094,
  title  = {Quantum K theory rings of partial flag manifolds},
  author = {W. Gu and L. Mihalcea and E. Sharpe and W. Xu and H. Zhang and H. Zou},
  journal= {arXiv preprint arXiv:2306.11094},
  year   = {2024}
}

Comments

49 pages, LaTeX; v2: miscellaneous updates