Notes on Liouville Theory at c<=1
| dc.creator | McElgin, Will | |
| dc.date | 2007-06-04 | |
| dc.date.accessioned | 2026-07-07T11:16:35Z | |
| dc.date.available | 2026-07-07T11:16:35Z | |
| dc.description | The continuation of the Liouville conformal field theory to c<=1 is considered. The viability of an interpretation involving a timelike boson which is the conformal factor for two-dimensional asymptotically de Sitter geometries is examined. The conformal bootstrap leads to a three-point function with a unique analytic factor which is the same as that which appears along with the fusion coefficients in the minimal models. A corresponding non-analytic factor produces a well-defined metric on fields only when the central charge is restricted to those of the topological minimal models, and when the conformal dimensions satisfy h>(c-1)/24. However, the theories considered here have a continuous spectrum which excludes the degenerate representations appearing in the minimal models. The c=1 theory has been investigated previously using similar techniques, and is identical to a non-rational CFT which arises as a limit of unitary minimal models. When coupled to unitary matter fields, the non-unitary theories with c<=-2 produce string amplitudes which are similar to those of the minimal string. | |
| dc.description | 31 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0706.0365 | |
| dc.identifier | http://arxiv.org/abs/0706.0365 | |
| dc.identifier | Phys.Rev.D77:066009,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.066009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/192719 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Notes on Liouville Theory at c<=1 | |
| dc.type | text |