TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.2.060
TI  - Bootstrapping frustrated magnets: the fate of the chiral ${\rm O}(N)\times {\rm O}(2)$ universality class
PY  - 2025/02/19
UR  - https://www.scipost.org/SciPostPhys.18.2.060
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 2
SP  - 060
A1  - Reehorst, Marten
AU  - Rychkov, Slava
AU  - Sirois, Benoit
AU  - van Rees, Balt
AB  - We study multiscalar theories with $\text{O}(N) × \text{O}(2)$ symmetry. These models have a stable fixed point in $d$ dimensions if $N$ is greater than some critical value $N_c(d)$. Previous estimates of this critical value from perturbative and non-perturbative renormalization group methods have produced mutually incompatible results. We use numerical conformal bootstrap methods to constrain $N_c(d)$ for $3 ≤ d < 4$. Our results show that $N_c> 3.78$ for $d = 3$. This favors the scenario that the physically relevant models with $N = 2,3$ in $d=3$ do not have a stable fixed point, indicating a first-order transition. Our result exemplifies how conformal windows can be rigorously constrained with modern numerical bootstrap algorithms.
ER  -

@Article{10.21468/SciPostPhys.18.2.060,
	title={{Bootstrapping frustrated magnets: the fate of the chiral ${\rm O}(N)\times {\rm O}(2)$ universality class}},
	author={Marten Reehorst and Slava Rychkov and Benoit Sirois and Balt C. van Rees},
	journal={SciPost Phys.},
	volume={18},
	pages={060},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.2.060},
	url={https://scipost.org/10.21468/SciPostPhys.18.2.060},
}