TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.1.020
TI  - Diagonal fields in critical loop models
PY  - 2023/03/27
UR  - https://scipost.org/SciPostPhysCore.6.1.020
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 1
SP  - 020
A1  - Ribault, Sylvain
AB  - In critical loop models, there exist diagonal fields with arbitrary conformal dimensions, whose $3$-point functions coincide with those of Liouville theory at $c\leq 1$. We study their $N$-point functions, which depend on the $2^{N-1}$ weights of topologically inequivalent loops on a sphere with $N$ punctures. Using a numerical conformal bootstrap approach, we find that $4$-point functions decompose into infinite but discrete linear combinations of conformal blocks. We conclude that diagonal fields belong to an extension of the $O(n)$ model.
ER  -

@Article{10.21468/SciPostPhysCore.6.1.020,
	title={{Diagonal fields in critical loop models}},
	author={Sylvain Ribault},
	journal={SciPost Phys. Core},
	volume={6},
	pages={020},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.1.020},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.1.020},
}