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Quantum K-theory in Physics and Schubert Line Defects - VTechWorks - Virginia Tech

vtechworks.lib.vt.edu

This Virginia Tech thesis reveals how supersymmetric gauge theory and quantum K-theory secretly speak the same mathematical language — and what that means for the geometry of reality.

SupersymmetryQuantum K-TheorySchubert CalculusGauge Theory

Theory Briefing

  • A Virginia Tech thesis links 2d supersymmetric gauge theories to quantum K-theory, uniting physics and abstract mathematics.
  • Schubert line defects serve as geometric probes inside gauge theories, encoding deep topological data about quantum spaces.
  • The work suggests physical observables in supersymmetric models can be computed using the combinatorial machinery of Schubert calculus.