Built on

P. Di Francesco, H. Saleur, J.-B. Zuber (1987) Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
1987
Earlier work this paper cites.
V. Schomerus (2003) [arXiv:hep-th/0306026] [doi:10.1088/1126-6708/2003/11/043]
2003
Earlier work this paper cites.
A. B. Zamolodchikov (2005) [arXiv:hep-th/0505063] [doi:10.1007/s11232-005-0003-3]
2005
Earlier work this paper cites.
R. Nivesvivat, S. Ribault (2021) [arXiv:2007.04190] [doi:10.21468/SciPostPhys.10.1.021]
Original
2007
Earlier work this paper cites.
G. Delfino, J. Viti (2011) [arXiv:1009.1314] [doi:10.1088/1751-8113/44/3/032001]
Original
2011
Earlier work this paper cites.
S. Ribault, R. Santachiara (2015) [arXiv:1503.02067] [doi:10.1007/JHEP08(2015)109]
Original
2015
Earlier work this paper cites.
Y. Ikhlef, J. L. Jacobsen, H. Saleur (2016) [arXiv:1509.03538] [doi:10.1103/PhysRevLett.116.130601]
Original
2016
Earlier work this paper cites.

Similar

M. Picco, S. Ribault, R. Santachiara (2016) [arXiv:1607.07224] [doi:10.21468/SciPostPhys.1.1.009]
Original
2016
Cited alongside, same era.
S. Ribault (2019) [arXiv:1809.03722] [doi:10.21468/SciPostPhys.6.6.075]
Original
2019
Cited alongside, same era.
J. L. Jacobsen, H. Saleur (2019) [arXiv:1809.02191] [doi:10.1007/JHEP01(2019)084]
Original
2019
Cited alongside, same era.
Y. He, J. L. Jacobsen, H. Saleur (2020) [arXiv:2005.07258] [doi:10.1007/JHEP12(2020)019]
Original
2020
Cited alongside, same era.
Y. He, L. Grans-Samuelsson, J. L. Jacobsen, H. Saleur (2020) [arXiv:2002.09071] [doi:10.1007/JHEP05(2020)156]
Original

Then

Y. Ikhlef, A. Morin-Duchesne (2021) [arXiv:2105.10240] Fusion in the periodic Temperley-Lieb algebra and connectivity operators of loop models
Original
2021
Later among the works it cites.
J. Böhm, J. L. Jacobsen, Y. Jiang, Y. Zhang (2022) [arXiv:2202.02986] Geometric Algebra and Algebraic Geometry of Loop and Potts Models
Original
2022
Closest in time.
J. L. Jacobsen, S. Ribault, H. Saleur (2022) [arXiv:2208.14298] Spaces of states of the two-dimensional O(n) and Potts models
Original
2022
Closest in time.
L. Grans-Samuelsson, R. Nivesvivat, J. L. Jacobsen, S. Ribault, H. Saleur (2022) [arXiv:2111.01106] [doi:10.21468/SciPostPhys.12.5.147]
Original
2022
Closest in time.
S. Ribault, R. Nivesvivat, L. Grans-Samuelsson et al (2022 code) Bootstrap_Virasoro 4.0: Bootstrapping two-dimensional CFTs with Virasoro symmetry

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2022

Diagonal fields in critical loop models

Ribault, Sylvain

Understand

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 combinatorially 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.