Berry Phase and Supersymmetry
|
Mon, 01/06/2009 12:00 |
David Tong (Cambridge) |
String Theory Seminar  |
L3 |
| Abstract: I will give an introduction to the phenomenon of non-Abelian Berry phase. This process, which describes the holonomy of degenerate quantum states as parameters are varied, is governed by a non-Abelian gauge connection. I will explain why this set of ideas is particularly natural in supersymmetric quantum mechanics and will show that the connection is governed by well known equations of mathematical physics such as the Hitchin equation, the Bogomolnyi equation and generalizations. | |||