BPS counting for knots and combinatorics on words

@article{Kucharski2016BPSCF,
  title={BPS counting for knots and combinatorics on words},
  author={Piotr Kucharski and Piotr Sulkowski},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-39}
}
  • 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

    Figures and Tables from this paper.

    Citations

    Publications citing this paper.