Matrix product formula for Macdonald polynomials
- L. Cantini, J. Gier, Michael Wheeler
- Mathematics
- 1 May 2015
We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik–Zamolodchikov equations, which arise by…
Asymmetric Simple Exclusion Process with Open Boundaries and Koornwinder Polynomials
- L. Cantini
- Mathematics
- 31 May 2015
In this paper, we analyze the steady state of the asymmetric simple exclusion process with open boundaries and second class particles by deforming it through the introduction of spectral parameters.…
Inhomogenous Multispecies TASEP on a ring with spectral parameters
- L. Cantini
- Mathematics
- 25 February 2016
We study an inhomogenous multispecies version of the Totally Asymmetric Simple Exclusion Process (TASEP) on a periodic oriented one dimensional lattice, which depends on two sets of parameters $({\bf…
Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory
- P. Aschieri, L. Cantini, B. Jurčo
- Physics
- 15 December 2003
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transformations are studied…
Proof of the Razumov-Stroganov conjecture
- L. Cantini, A. Sportiello
- MathematicsJournal of combinatorial theory. Series A
- 17 March 2010
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
- L. Cantini, A. Garbali, J. Gier, M. Wheeler
- Mathematics
- 30 June 2016
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corollary we obtain that…
A one-parameter refinement of the Razumov-Stroganov correspondence
- L. Cantini, A. Sportiello
- MathematicsJournal of combinatorial theory. Series A
- 23 February 2012
Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model
- L. Cantini, F. Colomo, A. Pronko
- MathematicsAnnales de l'Institute Henri Poincare. Physique…
- 18 June 2019
We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show how the known…
Off-critical SLE(2) and SLE(4): a field theory approach
- M. Bauer, D. Bernard, L. Cantini
- Physics
- 5 March 2009
Using their relationship with the free boson and the free symplectic fermion, we study the off-critical perturbations of SLE(4) and SLE(2) obtained by adding a mass term to the action. We compute the…
Matrix product and sum rule for Macdonald polynomials
- L. Cantini, J. Gier, M. Wheeler
- MathematicsDiscrete Mathematics & Theoretical Computer…
- 13 February 2016
International audience
We present a new, explicit sum formula for symmetric Macdonald polynomials Pλ and show that they can be written as a trace over a product of (infinite dimensional) matrices.…
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