38 citations · 144 across the 15 of their papers we have counts for
15 papers
Anchored random clusters and SLE excursions
Federico Camia, Valentino F. Foit, Rongvoram Nivesvivat
We provide a pedagogical review of CFT techniques to compute certain Schramm-Loewner Evolution (SLE) observables in the upper half-plane. The approach relies on the ability to expr…
Exact solution of three-point functions in critical loop models
Morris Ang, Gefei Cai, Jesper Lykke Jacobsen +4
We propose an exact formula for three-point functions on the sphere in critical loop models with primary fields characterized by legs and a parameter \(s\) that de…
Two-point functions in boundary loop models
Max Downing, Jesper Lykke Jacobsen, Rongvoram Nivesvivat +1
Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half…
Boundary operators in the Brownian loop soup
Federico Camia, Rongvoram Nivesvivat
We obtain infinitely many boundary operators in the Brownian loop soup in the subcritical phase by analyzing the conformal block expansion of the two-point function that computes t…
Reflecting boundary conditions in critical loop models
Max Downing, Jesper Lykke Jacobsen, Rongvoram Nivesvivat +2
In critical loop models, we call a boundary sticky if loops can attach to it, and reflecting otherwise. Using analytic bootstrap methods, we show that reflecting boundaries are cha…
Three-point functions in critical loop models
Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Sylvain Ribault +1
In two-dimensional models of critical non-intersecting loops, there are -leg fields that insert open loop segments, and diagonal fields that change the…
Fusion rules and structure constants of E-series minimal models
Rongvoram Nivesvivat, Sylvain Ribault
In the ADE classification of Virasoro minimal models, the E-series is the sparsest: their central charges are not dense in the half-line $c\in (-\infty,1)…
Critical loop models are exactly solvable
Rongvoram Nivesvivat, Sylvain Ribault, Jesper Lykke Jacobsen
In two-dimensional critical loop models, including the and Potts models, the spectrum is exactly known, as are a few structure constants or ratios thereof. Using numerical c…
On currents in the loop model
Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Hubert Saleur
Using methods from the conformal bootstrap, we study the properties of Noether currents in the critical loop model. We confirm that they do not give rise to a Kac-Moody alge…
From combinatorial maps to correlation functions in loop models
Linnea Grans-Samuelsson, Jesper Lykke Jacobsen, Rongvoram Nivesvivat +2
In two-dimensional statistical physics, correlation functions of the O(N) and Potts models may be written as sums over configurations of non-intersecting loops. We define sums asso…
Global symmetry and conformal bootstrap in the two-dimensional -state Potts model
Rongvoram Nivesvivat
The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional -state Potts model. Four-poi…
Global symmetry and conformal bootstrap in the two-dimensional model
Linnea Grans-Samuelsson, Rongvoram Nivesvivat, Jesper Lykke Jacobsen +2
We define the two-dimensional conformal field theory as a theory that includes the critical dilute and dense models as special cases, and depends analytically on the…
Logarithmic CFT at generic central charge: from Liouville theory to the -state Potts model
Rongvoram Nivesvivat, Sylvain Ribault
Using derivatives of primary fields (null or not) with respect to the conformal dimension, we build infinite families of non-trivial logarithmic representations of the conformal al…
Hidden symmetries of the Higgs oscillator and the conformal algebra
Oleg Evnin, Rongvoram Nivesvivat
We give a solution to the long-standing problem of constructing the generators of hidden symmetries of the quantum Higgs oscillator, a particle on a d-sphere moving in a central po…
AdS perturbations, isometries, selection rules and the Higgs oscillator
Oleg Evnin, Rongvoram Nivesvivat
Dynamics of small-amplitude perturbations in the global anti-de Sitter (AdS) spacetime is restricted by selection rules that forbid effective energy transfer between certain sets o…