The Maldacena Conjecture and Rehren Duality
| dc.creator | Arnsdorf, Matthias | |
| dc.creator | Smolin, Lee | |
| dc.date | 2001-06-08 | |
| dc.date.accessioned | 2026-07-07T04:11:47Z | |
| dc.date.available | 2026-07-07T04:11:47Z | |
| dc.description | We analyse the implications of the fact that there are two claims for a dual to \N=4 superconformal SU(N) Yang-Mills theory (SCYM), the Maldacena conjecture and the theorem of Rehren. While the Maldacena dual is conjectured to be a non-perturbative string theory for large string coupling $g_s$ and small $N$, the Rehren dual is an ordinary quantum field theory on $AdS_5$ for all values of the parameters. We argue that as a result, if we accept the Maldacena conjecture, one of the following statements must be true: 1) SCYM does not satisfy the axioms of algebraic quantum field theory for finite $N$ because its observables do not obey the causal structure of conformal Minkowski space;. 2) String theory on $AdS_5 \times S^5$ is not a quantum theory of gravity in 10 dimensions because it is dual to an ordinary quantum field theory on $AdS_5$ whose causal structure remains fixed for all values of its couplings; or 3) there is no consistent quantisation of string theory on $AdS_5 \times S^5$ for finite string scale $l_s$ and $g_s$. In evaluating the evidence for each of these conclusions we point out that many of the tests of the Maldacena conjecture can be explained by a weaker form of an $AdS/CFT$ correspondence. | |
| dc.description | 14 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0106073 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0106073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50725 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Maldacena Conjecture and Rehren Duality | |
| dc.type | text |