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arXiv · 2306.11094

Quantum K theory rings of partial flag manifolds

W. Gu·L. Mihalcea·E. Sharpe·W. Xu·H. Zhang·H. Zou
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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.

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W. Gu, L. Mihalcea, E. Sharpe, W. Xu, H. Zhang, H. Zou. 2023-06-19. Quantum K theory rings of partial flag manifolds. https://doi.org/10.1016/j.geomphys.2024.105127

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