|Sunday 22 September 2019|
|Events for day: Thursday 15 August 2019|
| 11:00 - 12:00 Theory Weekly Seminar(TWS)|
BPS Counting in Toric Quiver Gauge Theory: Asymptotic Analysis
PARTICLES AND ACCELERATORS
Abstract: In this talk, first we review the BPS sector in N = 2, four-dimensional toric quiver gauge theories and its relation to crystal melting model and dimer model. Then, we introduce the Mahler measure associated with the statistical dimer model to study the thermodynamic limit of these quiver gauge theories. In this limit, the generating function of BPS states in a general toric quiver theory is studied and entropy, growth rate of BPS states and free energy of the quiver are obtained in terms of the Mahler measure. Finally, we consider some concrete examples and present explicit computations of the profile function, entropy density, BPS ...