Abstract
We search for infrared fixed points of Gross-Neveu Yukawa models with matrix degrees of freedom in d = 4 − ε. We consider three models — a model with SU(N) symmetry in which the scalar and fermionic fields both transform in the adjoint representation, a model with SO(N) symmetry in which the scalar and fermion fields both transform as real symmetric-traceless matrices, and a model with SO(N) symmetry in which the scalar field transforms as a real symmetric-traceless matrix, while the fermion transforms in the adjoint representation. These models differ at finite N, but their large-N limits are perturbatively equivalent. The first two models contain a supersymmetric fixed point for all N, which is attractive to all classically-marginal deformations for N sufficiently large. The third model possesses a stable fixed point that, although non-supersymmetric, gives rise to many correlation functions that are identical to those of a supersymmetric fixed point when N is sufficiently large. We also find several non-supersymmetric fixed points at finite and large-N. Planar diagrams dominate the large-N limit of these fixed points, which suggests the possibility of a stringy holographic dual description.
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Acknowledgments
The authors thank D. Gaiotto, Z. Komargodski, H. Osborn, and A. Stergiou for discussions and comments on earlier drafts of this manuscript. SP also acknowledges the Harish Chandra-Research Institute for hospitality when part of this work was completed, and thanks A. Maharana, D. Jatkar, and others present for useful discussions and comments when preliminary results were presented in a seminar in December, 2022. SS thanks K.P. Yogendran for the discussions. The work of SP was supported in part by a DST-SERB grant (CRG/2021/009137).
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Prakash, S., Sinha, S.K. Emergent supersymmetry at large N. J. High Energ. Phys. 2024, 25 (2024). https://doi.org/10.1007/JHEP01(2024)025
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DOI: https://doi.org/10.1007/JHEP01(2024)025