Heriot-Watt Mathematics Report Series
HWM09-10, 12 Oct 2009
Crystal melting on toric surfaces
M Cirafici, A K Kashani-Poor and R J Szabo
Abstract
We study the relationship between the statistical mechanics of crystal
melting and instanton counting in N=4 supersymmetric U(1) gauge
theory on toric surfaces. We argue that, in contrast to their
six-dimensional cousins, the two problems are related but not
identical. We develop a vertex formalism for the crystal partition
function, which calculates a generating function for the dimension 0
and 1 subschemes of the toric surface, and discuss the modifications
required to obtain the corresponding gauge theory partition function.
Google Scholar Search: links, citations and journal (if available)
Contact Details | 2009 Reports Index |
Full Index