Quantum Crystal and Topological Strings

by Susanne Reffert (U Amsterdam)

Tuesday 27 Nov 2007, 14:00 → 15:00 Europe/Zurich

TH Theory Conference Room (CERN)

Starting from earlier works on the subject (Classical Crystal and Quantum Calabi-Yau, Quantum Foam and Topological Strings), we study the correspondence between the statistical system of a melting crystal corner and topological string theory. We propose a quantum Hamiltonian governing the melting process of the quantum crystal. Its ground state reproduces the steady state distribution of the classical system. I will discuss the properties of this system and its implications for topological string theory, as well as the system of 2d partitions and its relation to integrable spin chains.