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arXiv · 1705.03484

Bootstrapping 3D Fermions with Global Symmetries

Luca Iliesiu·Filip Kos·David Poland·Silviu S. Pufu·David Simmons-Duffin
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Abstract

We study the conformal bootstrap for 4-point functions of fermions $\langle \psi_i \psi_j \psi_k \psi_{\ell} \rangle$ in parity-preserving 3d CFTs, where $\psi_i$ transforms as a vector under an $O(N)$ global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the $O(N)$ symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the $1/N$ expansion at large $N$ and allow us to make nontrivial predictions at small $N$. For values of $N$ for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

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Luca Iliesiu, Filip Kos, David Poland, Silviu S. Pufu, David Simmons-Duffin. 2017-05-09. Bootstrapping 3D Fermions with Global Symmetries. https://doi.org/10.1007/jhep01(2018)036

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