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Quantum K theory rings of partial flag manifolds

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arxiv 2306.11094 v2 pith:7FR5TE7M submitted 2023-06-19 hep-th

W. Gu , L. Mihalcea , E. Sharpe , W. Xu , H. Zhang , H. Zou This is my paper · ORCID
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keywords quantumtheorychern-simonsflaglevelsmanifoldspartialrings
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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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  1. Quantum K-theory levels in physics and math

    hep-th 2025-06 conditional novelty 6.0 of 10

    Chern-Simons levels and Ruan-Zhang levels are identified as the same twisting of quantum K-theory, with Coulomb branch equations matching difference operator symbols and geometric windows matching mirror triviality.

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