TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.6.155
TI  - Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model
PY  - 2023/06/14
UR  - https://www.scipost.org/SciPostPhys.14.6.155
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 6
SP  - 155
A1  - Nivesvivat, Rongvoram
AB  - The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model. Four-point functions of the Potts conformal field theory are dictated by two constraints: the crossing-symmetry equation and $S_Q$ symmetry. We numerically solve the crossing-symmetry equation for several four-point functions of the Potts conformal field theory for $Q\in\mathbb{C}$. In all examples, we find crossing-symmetry solutions that are consistent with $S_Q$ symmetry of the Potts conformal field theory. In particular, we have determined their numbers of crossing-symmetry solutions, their exact spectra, and a few corresponding fusion rules. In contrast to our results for the $O(n)$ model, in most of examples, there are extra crossing-symmetry solutions whose interpretations are still unknown.
ER  -

@Article{10.21468/SciPostPhys.14.6.155,
	title={{Global symmetry and conformal bootstrap in the two-dimensional $Q$-state Potts model}},
	author={Rongvoram Nivesvivat},
	journal={SciPost Phys.},
	volume={14},
	pages={155},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.6.155},
	url={https://scipost.org/10.21468/SciPostPhys.14.6.155},
}