SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
| dc.creator | Witten, Edward | |
| dc.date | 2003-07-03 | |
| dc.date | 2003-08-01 | |
| dc.date.accessioned | 2026-07-07T04:15:24Z | |
| dc.date.available | 2026-07-07T04:15:24Z | |
| dc.description | 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 $SL(2,{\bf Z})$. The generator $S$ of $SL(2,{\bf Z})$ 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 $SL(2,{\bf Z})$ action in three dimensions is related by the AdS/CFT correspondence to $SL(2,{\bf Z})$ duality of low energy U(1) gauge fields in four dimensions. | |
| dc.description | 28 pp, significant added references and reworking of arguments in section 2; v. 3: additional references and clarification | |
| dc.identifier | https://arxiv.org/abs/hep-th/0307041 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0307041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51989 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry | |
| dc.type | text |