Bootstrapping 3D fermions

@article{Iliesiu2015Bootstrapping3F,
  title={Bootstrapping 3D fermions},
  author={Luca V. Iliesiu and F. Kos and David Poland and S. Pufu and D. Simmons-Duffin and Ran Yacoby},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2016},
  pages={1-42}
}
  • Luca V. Iliesiu, F. Kos, +3 authors Ran Yacoby
  • Published 2015
  • Physics
  • Journal of High Energy Physics
  • A bstractWe study the conformal bootstrap for a 4-point function of fermions 〈ψψψψ〉 in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the ψ × ψ OPE, and also on the central charge CT . We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N . We also speculate that other… CONTINUE READING
    77 Citations

    Figures and Tables from this paper

    General bootstrap equations in 4D CFTs
    • 49
    • PDF
    More Analytic Bootstrap: Nonperturbative Effects and Fermions
    • 25
    • Highly Influenced
    • PDF
    Fermion-scalar conformal blocks
    • 71
    • PDF
    The Inversion Formula and 6j Symbol for 3d Fermions
    • 4
    • PDF
    Non-abelian binding energies from the lightcone bootstrap
    • 38
    • PDF

    References

    SHOWING 1-10 OF 69 REFERENCES
    Solving the 3D Ising Model with the Conformal Bootstrap
    • 475
    • PDF
    A note on CFT correlators in three dimensions
    • 126
    • PDF
    Bootstrapping the Three Dimensional Supersymmetric Ising Model.
    • 79
    • PDF
    Bootstrapping mixed correlators in the 3D Ising model
    • 249
    • PDF
    Spinning conformal correlators
    • 366
    • PDF
    N=4 superconformal bootstrap.
    • 225
    • PDF
    General three-point functions in 4D CFT
    • 46
    • PDF