Publications

Back to staff profile

  • A. Garbali, J. de Gier. The R-Matrix of the Quantum Toroidal Algebra Uq,t(gl..1) in the Fock Module. Communications in Mathematical Physics, 1971-2008, 2021. doi: 10.1007/s00220-021-04023-z.

  • A. Garbali, M. Wheeler. Modified Macdonald Polynomials and Integrability. Communications in Mathematical Physics, 374, 1809-1876, 2020. doi: 10.1007/s00220-020-03680-w.

  • A. Garbali, J. de Gier. The $R$-matrix of the quantum toroidal algebra $U_{q,t}(overset{..}{gl}_1)$ in the Fock module. 2020.

  • Gyorgy Z Feher, A. Garbali, Jan de Gier, Kareljan Schoutens. A Curious Mapping Between Supersymmetric Quantum Chains. 2, 167-184, Springer International Publishing, 2019. doi: 10.1007/978-3-030-04161-8_12.

  • A. Garbali, M. Wheeler. Modified Macdonald polynomials and integrability. 2018.

  • A. Garbali, J. de Gier, M. Wheeler. A New Generalisation of Macdonald Polynomials. Communications in Mathematical Physics, 352, 773-804, 2017. doi: 10.1007/s00220-016-2818-1.

  • A. Garbali, B Nienhuis. The dilute Temperley–Lieb O(n??=??1) loop model on a semi infinite strip: the ground state. Journal of Statistical Mechanics: Theory and Experiment, 2017, 043108 (27pp), 2017. doi: 10.1088/1742-5468/aa6a30.

  • A. Garbali, B Nienhuis. The dilute Temperley–Lieb O(n??=??1) loop model on a semi infinite strip: the sum rule. Journal of Statistical Mechanics: Theory and Experiment, 2017, 053102 (23pp), 2017. doi: 10.1088/1742-5468/aa6bc3.

  • Gyorgy Z Feher, A. Garbali, J. de Gier, Kareljan Schoutens. A curious mapping between supersymmetric quantum chains. 2017.

  • Luigi Cantini, A. Garbali, J. de Gier, M. Wheeler. Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries. Journal of Physics A: Mathematical and Theoretical, 49, 444002 (23pp), 2016. doi: 10.1088/1751-8113/49/44/444002.

  • A. Garbali. The domain wall partition function for the Izergin–Korepin nineteen-vertex model at a root of unity. Journal of Statistical Mechanics: Theory and Experiment, 2016, 033112, 2016. doi: 10.1088/1742-5468/2016/03/033112.

  • A. Garbali, J. de Gier, M. Wheeler. A new generalisation of Macdonald polynomials. 2016.

  • Luigi Cantini, A. Garbali, J. de Gier, M. Wheeler. Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries. 2016.

  • A. Garbali, B Nienhuis. The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the sum rule. 2014.

  • A. Garbali, B Nienhuis. The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the ground state. 2014.