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arXiv · 2606.07510

Boundary criticality in the Gross-Neveu-Yukawa model at higher orders

Oleksandr Diatlyk·Simone Giombi·Zimo Sun
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Abstract

We extend the study of boundary criticality in the Gross-Neveu-Yukawa universality class beyond leading order. Using the hyperbolic space formulation of boundary conformal field theories, we compute the first subleading corrections at large $N$ to the free energies of the ``normal", ``ordinary" and ``special" boundary universality classes. We also determine the order $1/N$ correction to the dimension of the boundary fermion at the normal fixed point. In the Gross-Neveu-Yukawa theory in $d=4-\epsilon$, we perform a higher-order analysis of the boundary free energy, and use it to extract estimates for the boundary central charge in $d=3$. The large $N$ and $\epsilon$-expansion results are shown to be precisely consistent in overlapping regimes, providing nontrivial consistency checks for the identification of the boundary universality classes. Our calculations rely on a combination of AdS harmonic analysis and boundary conformal field theory techniques.

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Oleksandr Diatlyk, Simone Giombi, Zimo Sun. 2026-06-05. Boundary criticality in the Gross-Neveu-Yukawa model at higher orders. https://arxiv.org/abs/2606.07510

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