A matrix model for plane partitions Export

@article{citeulike:5958516, abstract = {We construct a matrix model equivalent (exactly, not asymptotically) to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a TASEP-like process with arbitrary boundary conditions. Using the known solution of matrix models, this method allows us to find the large size asymptotic expansion of plane partitions, to all orders. It also allows us to describe several universal regimes. On the algebraic geometry point of view, this gives the Gromov-Witten invariants of \mathbb {C}^3 with branes, i.e. the topological vertex, in terms of the symplectic invariants of the mirror's spectral curve.}, author = {Eynard, B.}, citeulike-article-id = {5958516}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/1742-5468/2009/10/P10011}, doi = {10.1088/1742-5468/2009/10/P10011}, issn = {1742-5468}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {algebraic\_geometry, gromov, matrix\_models, partition, witten\_invariants}, month = {October}, number = {10}, pages = {P10011+}, posted-at = {2009-10-20 04:31:04}, priority = {2}, publisher = {IOP Publishing}, title = {A matrix model for plane partitions}, url = {http://dx.doi.org/10.1088/1742-5468/2009/10/P10011}, volume = {2009}, year = {2009} }

TY - JOUR ID - citeulike:5958516 L3 - citeulike-article-id:5958516 N2 - We construct a matrix model equivalent (exactly, not asymptotically) to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a TASEP-like process with arbitrary boundary conditions. Using the known solution of matrix models, this method allows us to find the large size asymptotic expansion of plane partitions, to all orders. It also allows us to describe several universal regimes. On the algebraic geometry point of view, this gives the Gromov-Witten invariants of \mathbb {C}^3 with branes, i.e. the topological vertex, in terms of the symplectic invariants of the mirror's spectral curve. IS - 10 JF - Journal of Statistical Mechanics: Theory and Experiment SN - 1742-5468 TI - A matrix model for plane partitions PB - IOP Publishing VL - 2009 SP - P10011 KW - algebraic_geometry KW - gromov KW - matrix_models KW - partition KW - witten_invariants AU - Eynard, B PY - 2009/10// UR - http://dx.doi.org/10.1088/1742-5468/2009/10/P10011 ER -