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, and we comment on possible implications for nonperturbative 2D gravity. We also give evidence for a new open/closed duality relating these Calabi-Yau backgrounds to open strings with framing. © 2007 The American Physical Society
Caporaso, N., Griguolo, L., Mariño, M., Pasquetti, S., & Seminara, D. (2007). Phase transitions, double-scaling limit, and topological strings. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 75(4).
Citazione: | Caporaso, N., Griguolo, L., Mariño, M., Pasquetti, S., & Seminara, D. (2007). Phase transitions, double-scaling limit, and topological strings. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 75(4). |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | Phase transitions, double-scaling limit, and topological strings |
Autori: | Caporaso, N; Griguolo, L; Mariño, M; Pasquetti, S; Seminara, D |
Autori: | PASQUETTI, SARA (Penultimo) |
Data di pubblicazione: | 2007 |
Lingua: | English |
Rivista: | PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevD.75.046004 |
Appare nelle tipologie: | 01 - Articolo su rivista |