Here’s a supremely ambitious vague plan of study for this semester. I want to spend the next 4 months thinking about some (subset) of the following things:

1. The path integral approach, and it’s relation to topics like solitons, instantons, monopoles. Applications to high energy and condensed matter.

2. Conformal field theory. Dualities. What is the ADS / CFT correspondence and the holographic principle?

3. Renormalization and the Renormalization group. Applications to high energy and condensed matter. Wilson loops. Renormalization and ricci flow.

The plan is subject to plenty of change as I piece together what’s going on. I’ll add useful references as I find them.

Here’s a collection of **literature** on these subjects:

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