|
Colloquim
|
Gauge Theory on a punctured 2-torus YABU Yoshiro 30th July (Fri) 13:30-
In the previous, we showed that the moduli space of flat connections on a principal U(1)-bundle over a punctured 2-torus is identified with the (N+1)-torus where N is the number of holes in the punctured torus. In this colloquium, we will construct its associated complex line bundle and define quantum system as a tuple consisting of the Hilber space of sections, covariant derivatives and position operators. The goal is to find necessary and sufficient conditions for two quantum systems to be equivalent. The main theorem is analogous to the previous theorem which gives conditions for two flat connections on the U(1)-bundle to be gauge-equivalent. |
|---|