34 citations · 153 across the 12 of their papers we have counts for
12 papers
Higher-spin quantum and classical Schur-Weyl duality for
Steven M. Flores, Eveliina Peltola
It is well-known that the commutant algebra of the -action on the -fold tensor product of its fundamental module is isomorphic to the Temperley-Lieb algebr…
Generators, projectors, and the Jones-Wenzl algebra
Steven M. Flores, Eveliina Peltola
We investigate a subalgebra of the Temperley-Lieb algebra called the Jones-Wenzl algebra, which is obtained by action of certain Jones-Wenzl projectors. This algebra arises natural…
Standard modules, radicals, and the valenced Temperley-Lieb algebra
Steven M. Flores, Eveliina Peltola
This article concerns a generalization of the Temperley-Lieb algebra, important in applications to conformal field theory. We call this algebra the valenced Temperley-Lieb algebra.…
A formula for crossing probabilities of critical systems inside polygons
Steven M. Flores, Jacob J. H. Simmons, Peter Kleban +1
In this article, we generalize known formulas for crossing probabilities. Prior crossing results date back to J. Cardy's prediction of a formula for the probability that a percolat…
Multiple-SLE connectivity weights for rectangles, hexagons, and octagons
Steven M. Flores, Jacob J. H. Simmons, Peter Kleban
In a previous article, we define "connectivity weights" to be functions with these two properties: 1) They solve the three conformal Ward identities of conformal field theory (CFT)…
Percolation crossing probabilities in hexagons: a numerical study
Steven M. Flores, Robert M. Ziff, Jacob J. H. Simmons
In a recent article, one of the authors used logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free b…
A solution space for a system of null-state partial differential equations 4
Steven M. Flores, Peter Kleban
This article is the last of four that completely characterize a solution space for a homogeneous system of linear partial differential equations (PDEs) in $2…
A solution space for a system of null-state partial differential equations 2
Steven M. Flores, Peter Kleban
This article is the second of four that completely characterize a solution space for a homogeneous system of linear partial differential equations (PDEs) in…
A solution space for a system of null-state partial differential equations 3
Steven M. Flores, Peter Kleban
This article is the third of four that completely characterize a solution space for a homogeneous system of linear partial differential equations (PDEs) in $…
A solution space for a system of null-state partial differential equations 1
Steven M. Flores, Peter Kleban
In this first of four articles, we study a homogeneous system of linear partial differential equations (PDEs) in variables that arises in conformal field theory (CFT) a…
Cluster pinch-point densities in polygons
Steven M. Flores, Peter Kleban, Robert M. Ziff
In a statistical cluster or loop model such as percolation, or more generally the Potts models or O(n) models, a pinch point is a single bulk point where several distinct clusters…
Cluster densities at 2-D critical points in rectangular geometries
Jacob J. H. Simmons, Peter Kleban, Steven M. Flores +1
Making use of a recent complete calculation of a chiral six-point correlation function C(z) in a rectangle we calculate various quantities of interest for percolation (SLE paramete…