Phase transitions, double-scaling limit, and topological strings
| dc.creator | Caporaso, Nicola | |
| dc.creator | Griguolo, Luca | |
| dc.creator | Marino, Marcos | |
| dc.creator | Pasquetti, Sara | |
| dc.creator | Seminara, Domenico | |
| dc.date | 2006-06-14 | |
| dc.date | 2007-01-10 | |
| dc.date.accessioned | 2026-07-07T10:42:25Z | |
| dc.date.available | 2026-07-07T10:42:25Z | |
| dc.description | Topological strings on Calabi--Yau manifolds are known to undergo phase transitions at small distances. We study this issue in the case of perturbative topological strings on local Calabi--Yau threefolds given by a bundle over a two-sphere. This theory can be regarded as a q--deformation of Hurwitz theory, and it has a conjectural nonperturbative description in terms of q--deformed 2d Yang--Mills theory. We solve the planar model and find a phase transition at small radius in the universality class of 2d gravity. We give strong evidence that there is a double--scaled theory at the critical point whose all genus free energy is governed by the Painlevé I equation. We compare the critical behavior of the perturbative theory to the critical behavior of its nonperturbative description, which belongs to the universality class of 2d supergravity. We also give evidence for a new open/closed duality relating these Calabi--Yau backgrounds to open strings with framing. | |
| dc.description | 49 pages, 3 eps figures; section added on non-perturbative proposal and 2d gravity; minor typos corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0606120 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0606120 | |
| dc.identifier | Phys.Rev.D75:046004,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.75.046004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181941 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Phase transitions, double-scaling limit, and topological strings | |
| dc.type | text |