Critical points in two-dimensional replica sigma models

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I survey the kinds of critical behavior believed to be exhibited in two-dimensional disordered systems. I review the different replica sigma models used to describe the low-energy physics, and discuss how critical points appear because of WZW and theta terms.
19 pages; Lecture at the NATO Advanced Study Institute/EC Summer School on New Theoretical Approaches to Strongly Correlated Systems, Newton Institute, Cambridge, UK, April 10-20, 2000

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