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Proof of the Razumov-Stroganov conjecture

- L. Cantini, A. Sportiello
- Mathematics, Physics
- J. Comb. Theory, Ser. A
- 17 March 2010

The Razumov-Stroganov conjecture relates the ground-state coefficients in the periodic even-length dense O(1) loop model to the enumeration of fully-packed loop configurations on the square, with… Expand

Asymmetric Simple Exclusion Process with Open Boundaries and Koornwinder Polynomials

- L. Cantini
- Mathematics, Physics
- 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.… Expand

Nonabelian Bundle Gerbes, Their Differential Geometry and Gauge Theory

- P. Aschieri, L. Cantini, B. Jurčo
- Mathematics, 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… Expand

Inhomogenous Multispecies TASEP on a ring with spectral parameters

- L. Cantini
- Mathematics, Physics
- 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… Expand

Matrix product formula for Macdonald polynomials

- L. Cantini, J. Gier, M. Wheeler
- Mathematics, Physics
- 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… Expand

Algebraic Bethe ansatz for the two species ASEP with different hopping rates

- L. Cantini
- Physics
- 22 October 2007

An ASEP with two species of particles and different hopping rates is considered on a ring. Its integrability is proved, and the nested algebraic Bethe ansatz is used to derive the Bethe equations for… Expand

Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

- L. Cantini, A. Garbali, J. Gier, M. Wheeler
- Mathematics, Physics
- 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… Expand

A one-parameter refinement of the Razumov-Stroganov correspondence

- L. Cantini, A. Sportiello
- Mathematics, Physics
- J. Comb. Theory, Ser. A
- 23 February 2012

TLDR

qKZ equation and ground state of the O(1) loop model with open boundary conditions

- L. Cantini
- Mathematics, Physics
- 30 March 2009

We consider the qKZ equations based on the two boundaries Temperley Lieb algebra. We construct their solution in the case s = q −3/2 using a recursion relation. At the combinatorial point q 1/2 = e… Expand

Off-critical SLE(2) and SLE(4): a field theory approach

- M. Bauer, D. Bernard, L. Cantini
- Mathematics, 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… Expand

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