Model theory and the AdS/CFT correspondence
| dc.creator | Król, Jerzy | |
| dc.date | 2005-06-01 | |
| dc.date | 2005-06-11 | |
| dc.date.accessioned | 2026-07-07T04:18:22Z | |
| dc.date.available | 2026-07-07T04:18:22Z | |
| dc.description | We give arguments that exotic smooth structures on compact and noncompact 4-manifolds are essential for some approaches to quantum gravity. We rely on the recently developed model-theoretic approach to exotic smoothness in dimension four. It is possible to conjecture that exotic $R^4$'s play fundamental role in quantum gravity similarily as standard local 4-spacetime patches do for classical general relativity. Renormalization in gravity--field theory limit of AdS/CFT correspondence is reformulated in terms of exotic $R^4$'s. We show how doubly special relativity program can be related to some model-theoretic self-dual $R^4$'s. The relevance of the structures for the Maldacena conjecture is discussed, though explicit calculations refer to the would be noncompact smooth 4-invariants based on the intuitionistic logic. | |
| dc.description | 17 pages, presented at the IPM String School and Workshop, Queshm Island, Iran, 05-14. 01. 2005. Some bibliographical corrections included | |
| dc.identifier | https://arxiv.org/abs/hep-th/0506003 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0506003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53153 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Model theory and the AdS/CFT correspondence | |
| dc.type | text |