56 citations · 151 across the 14 of their papers we have counts for
14 papers
Symmetric functions in superspace: a compendium of results and open problems (including a SageMath worksheet)
Ludovic Alarie-Vezina, Olivier Blondeau-Fournier, Patrick Desrosiers +2
We present a review of the most important results in the theory of symmetric functions in superspace (or symmetric superpolynomials), summarizing all principal contributions since…
Bernstein operators and super-Schur functions: combinatorial aspects
L. Alarie-Vézina, O. Blondeau-Fournier, L. Lapointe +1
The Bernstein vertex operators, which can be used to build recursively the Schur functions, are extended to superspace. Four families of super vertex operators are defined, corresp…
A quartet of fermionic expressions for Virasoro characters via half-lattice paths
Olivier Blondeau-Fournier, Pierre Mathieu, Trevor A Welsh
We derive new fermionic expressions for the characters of the Virasoro minimal models by analysing the recently introduced half-lattice paths. These fermionic express…
Expectation values of twist fields and universal entanglement saturation of the free massive boson
Olivier Blondeau-Fournier, Benjamin Doyon
The evaluation of vacuum expectation values (VEVs) in massive integrable quantum field theory (QFT) is a nontrivial renormalization-group "connection problem" -- relating large and…
Superconformal minimal models and admissible Jack polynomials
Olivier Blondeau-Fournier, Pierre Mathieu, David Ridout +1
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu-Schwarz and…
The super-Virasoro singular vectors and Jack superpolynomials relationship revisited
O. Blondeau-Fournier, P. Mathieu, D. Ridout +1
A recent novel derivation of the representation of Virasoro singular vectors in terms of Jack polynomials is extended to the supersymmetric case. The resulting expression of a gene…
Universal scaling of the logarithmic negativity in massive quantum field theory
Olivier Blondeau-Fournier, Olalla A. Castro-Alvaredo, Benjamin Doyon
We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compu…
Schur Superpolynomials: Combinatorial Definition and Pieri Rule
Olivier Blondeau-Fournier, Pierre Mathieu
Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur poly…
Double Macdonald polynomials as the stable limit of Macdonald superpolynomials
O. Blondeau-Fournier, L. Lapointe, P. Mathieu
Macdonald superpolynomials provide a remarkably rich generalization of the usual Macdonald polynomials. The starting point of this work is the observation of a previously unnoticed…
Macdonald polynomials in superspace as eigenfunctions of commuting operators
O. Blondeau-Fournier, P. Desrosiers, L. Lapointe +1
A generalization of the Macdonald polynomials depending upon both commuting and anticommuting variables has been introduced recently. The construction relies on certain orthogonali…
Macdonald polynomials in superspace: conjectural definition and positivity conjectures
O. Blondeau-Fournier, P. Desrosiers, L. Lapointe +1
We introduce a conjectural construction for an extension to superspace of the Macdonald polynomials. The construction, which depends on certain orthogonality and triangularity rela…
Half-lattice paths and Virasoro characters
Olivier B. -Fournier, Pierre Mathieu, Trevor A. Welsh
We first briefly review the role of lattice paths in the derivation of fermionic expressions for the M(p,p') minimal model characters of the Virasoro Lie algebra. We then focus on…
A bijection between paths for the M(p,2p+1) minimal model Virasoro characters
Olivier Blondeau-Fournier, Pierre Mathieu, Trevor Welsh
The states in the irreducible modules of the minimal models can be represented by infinite lattice paths arising from consideration of the corresponding RSOS statistical models. Fo…
Universality of Level Spacing Distributions in Classical Chaos
J. F. Laprise, J. Kroger, H. Kroger +7
We suggest that random matrix theory applied to a classical action matrix can be used in classical physics to distinguish chaotic from non-chaotic behavior. We consider the 2-D sta…