3D Gravity and Gauge Theories
| dc.creator | Boulatov, D. V. | |
| dc.date | 1993-11-16 | |
| dc.date.accessioned | 2026-07-07T04:19:50Z | |
| dc.date.available | 2026-07-07T04:19:50Z | |
| dc.description | I argue that the complete partition function of 3D quantum gravity is given by a path integral over gauge-inequivalent manifolds times the Chern-Simons partition function. In a discrete version, it gives a sum over simplicial complexes weighted with the Turaev-Viro invariant. Then, I discuss how this invariant can be included in the general framework of lattice gauge theory (qQCD$_3$). To make sense of it, one needs a quantum analog of the Peter-Weyl theorem and an invariant measure, which are introduced explicitly. The consideration here is limited to the simplest and most interesting case of $SL_q(2)$, $q=e^{i\frac{2π}{k+2}}$. At the end, I dwell on 3D generalizations of matrix models. | |
| dc.description | 20 pp., NBI-HE-93-67 (Contribution to Proceedings of 1993 Cargese workshop) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9311088 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9311088 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53728 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | 3D Gravity and Gauge Theories | |
| dc.type | text |