SLE(kappa,rho) and Conformal Field Theory
| dc.creator | Cardy, John | |
| dc.date | 2004-12-10 | |
| dc.date | 2006-01-13 | |
| dc.date.accessioned | 2026-07-07T06:38:33Z | |
| dc.date.available | 2026-07-07T06:38:33Z | |
| dc.description | SLE(kappa,rho) is a generalisation of Schramm-Loewner evolution which describes planar curves which are statistically self-similar but not conformally invariant in the strict sense. We show that, in the context of boundary conformal field theory, this process arises naturally in models which contain a conserved U(1) current density J, in which case it gives rise to a highest weight state satisfying a deformation of the usual level 2 null state condition. We apply this to a free field theory with piecewise constant Dirichlet boundary conditions, with a discontinuity lambda at the origin, and argue that this will lead to level lines in the bulk described by SLE(4,rho) across which there is a universal macroscopic jump lambda* in the field, independent of the value of lambda. | |
| dc.description | 18 pages, 1 figure. v.2: section about kappa not equal to 4 deleted | |
| dc.identifier | https://arxiv.org/abs/math-ph/0412033 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0412033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100776 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | SLE(kappa,rho) and Conformal Field Theory | |
| dc.type | text |