[Warning! This is an unusually technical post.] Ok, so last time, I told you a bit about the motivations for what I've been up to. Now I want to simply show you some of the product. I'm going to use pictures, words, and equations. I will lose some of you, and for that I'm sorry. But I hope that the words will still give you the gist of the thing. I'll answer some of your questions in the comments. Consider the following equation (first found and studied in this context in about 1991/1992 and reported e.g. here, and here, and here):
where
The leading boundary conditions for the solutions we wish to consider are:
This non-linear differential equation actually contains a lot of string theory information, and it is packaged in a way that is just the sort of thing we dream about in several other parts of string- (and ...
