N=2 supersymmetric spin foams in three dimensions
| dc.creator | Livine, Etera R. | |
| dc.creator | Ryan, James P. | |
| dc.date | 2007-10-18 | |
| dc.date.accessioned | 2026-07-07T11:53:40Z | |
| dc.date.available | 2026-07-07T11:53:40Z | |
| dc.description | We construct the spin foam model for N=2 supergravity in three dimensions. Classically, it is a BF theory with gauge algebra osp(2|2). This algebra has representations which are not completely reducible. This complicates the procedure when building a state sum. Fortunately, one can and should excise these representations. We show that the restricted subset of representations form a subcategory closed under tensor product. The resulting state-sum is once again a topological invariant. Furthermore, within this framework one can identify positively and negatively charged fermions propagating on the spin foam. These results on osp(2|2) representations and intertwiners apply more generally to spin network states for N=2 loop quantum supergravity (in 3+1 dimensions) where it allows to define a notion of BPS states. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0710.3540 | |
| dc.identifier | http://arxiv.org/abs/0710.3540 | |
| dc.identifier | Class.Quant.Grav.25:175014,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/17/175014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204623 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | N=2 supersymmetric spin foams in three dimensions | |
| dc.type | text |