Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models
| dc.creator | Hoppe, Jens | |
| dc.creator | Yau, Shing-Tung | |
| dc.date | 1998-06-18 | |
| dc.date.accessioned | 2026-07-07T04:24:42Z | |
| dc.date.available | 2026-07-07T04:24:42Z | |
| dc.description | The method introduced in [hep-th/9805020] is simplified, and used to calculate the asymptotic form of all SU(2) \times SO(d=3, resp. 5) invariant wave functions satisfying $Q_{\hatβ} Ψ= 0, \hatβ = 1 ... 4$ resp. 8, where $Q_{\hatβ}$ are the supercharges of the SU(2) matrix model related to supermembranes in d+2=5 (resp. 7) space-time dimensions. For d=3, there exist 2 asymptotic solutions, both of which are constant (hence non-normalizable) in the flat directions, confirming previous arguments that gauge-invariant zero energy states should not exist for d<9. For d=5, however, out of 4 asymptotic singlet solutions (3 with orbital angular momentum $l=0$, one having $l=1$) the one with $l=1$ does fall off fast enough to be asymptotically normalizable, hence requiring further analysis to be excluded as being extendable to a global solution. | |
| dc.description | 4 pages, LaTex file | |
| dc.identifier | https://arxiv.org/abs/hep-th/9806152 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9806152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55511 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Absence of Zero Energy States in the Simplest d=3 (d=5?) Matrix Models | |
| dc.type | text |