Abstract
On the space of three-dimensional conformal field theories with U(1) symmetry and a chosen coupling to a background gauge field, there is a natural action of the group SL(2, Z). The generator S of SL(2, Z) acts by letting the background gauge field become dynamical, an operation considered recently by Kapustin and Strassler in explaining three-dimensional mirror symmetry. The other generator T acts by shifting the Chern-Simons coupling of the background field. This SL(2, Z) action in three dimensions is related by the AdS/CFT correspondence to SL(2, Z) duality of low energy U(1) gauge fields in four dimensions.
| Original language | English (US) |
|---|---|
| Title of host publication | From Fields to Strings |
| Subtitle of host publication | Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection |
| Publisher | World Scientific Publishing Co. |
| Pages | 1173-1200 |
| Number of pages | 28 |
| Volume | 1 |
| ISBN (Electronic) | 9789812775344 |
| ISBN (Print) | 9789812389558 |
| DOIs | |
| State | Published - Jan 1 2005 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)