BPS counting for knots and combinatorics on words

  title={BPS counting for knots and combinatorics on words},
  author={Piotr Kucharski and Piotr Sulkowski},
  journal={Journal of High Energy Physics},
  • Piotr Kucharski, Piotr Sulkowski
  • Published 2016
  • Physics, Mathematics
  • Journal of High Energy Physics
  • A bstractWe discuss relations between quantum BPS invariants defined in terms of a product decomposition of certain series, and difference equations (quantum A-polynomials) that annihilate such series. We construct combinatorial models whose structure is encoded in the form of such difference equations, and whose generating functions (Hilbert-Poincaré series) are solutions to those equations and reproduce generating series that encode BPS invariants. Furthermore, BPS invariants in question are… CONTINUE READING

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