String networks as tropical curves
arXiv:0804.1870 · doi:10.1088/1126-6708/2008/09/098
Abstract
A prescription for obtaining supergravity solutions for planar (p,q)-string networks is presented, based on earlier results. It shows that networks may be looked upon as tropical curves emerging as the spine of the amoeba of a holomorphic curve in M-theory. The Kaehler potential of supergravity is identified with the corresponding Ronkin function. Implications of this identification in counting dyons is discussed.
9 pages, 2 pictures. 1 Reference added