Here are some notes I've written to understand various topics. Typos and misprints are to be expected, although I will continue to fix any I am able to find. I must warn readers that I haven't done a good job on referencing for these notes, as they were written up for personal use.
Notes based on term projects for MIT Course 8.871 : Geometrical and Topological Methods in Physics in 2009
These are some notes based on a couple of term projects I've done for MIT course 8.871 offered in 2009. It was taught by Professor Frank Wilczek. I have posted them here in case anyone else might find use for them.
Cheat Sheet for D=2 N=(2,2) Abelian Gauge Theories
Two-dimensional gauge theories play an important role in string theory, as they are a useful tool for understanding the worldsheet theory of the fundamental string. (The go-to reference on this subject is, of course, this paper.)
This is a cheat sheet I've made for myself for a very simple class of two-dimensional gauge theories, namely N=(2,2) abelian gauge theories.