PreprintCC BY-NC-SA 4.0arXiv
Conformal Spectrum of (Super) Chiral Ising and XY Models
Abstract
We determine the spectrum of scaling dimensions of composite operators in the critical Gross-Neveu-Yukawa and Nambu-Jona-Lasinio-Yukawa models through a next-to-leading order semiclassical computation. Their infrared fixed points belong to the chiral Ising and chiral XY universality classes, respectively. At next-to-leading order, we resolve the Lorentz structure of the operator spectrum. For the parameter values at which supersymmetry is expected to emerge in the infrared, we obtain a closed-form expression encoding the full spectrum within the semiclassical methodology. The resulting organization of operators into superconformal multiplets provides further evidence for emergent superconformal dynamics.
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BibTeX
@misc{antipin2026conformal,
title = {{Conformal Spectrum of (Super) Chiral Ising and XY Models}},
author = {Oleg Antipin and Jahmall Bersini and Jacob Hafjall and Giulia Muco and Francesco Sannino},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38614},
eprint = {2610.38614},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38614},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Conformal Spectrum of (Super) Chiral Ising and XY Models
AU - Oleg Antipin
AU - Jahmall Bersini
AU - Jacob Hafjall
AU - Giulia Muco
AU - Francesco Sannino
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38614
UR - https://arxiv.org/abs/2610.38614
AB - We determine the spectrum of scaling dimensions of composite operators in the critical Gross-Neveu-Yukawa and Nambu-Jona-Lasinio-Yukawa models through a next-to-leading order semiclassical computation. Their infrared fixed points belong to the chiral Ising and chiral XY universality classes, respectively. At next-to-leading order, we resolve the Lorentz structure of the operator spectrum. For the parameter values at which supersymmetry is expected to emerge in the infrared, we obtain a closed-form expression encoding the full spectrum within the semiclassical methodology. The resulting organization of operators into superconformal multiplets provides further evidence for emergent superconformal dynamics.
ER -