1998/06/18 by Jens Hoppe, Shing-Tung Yau, Hoppe, Jens +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9806152
4 pages, LaTex file
arxiv created 1998/06/18 · arxiv updated 2009/11/30
The method introduced in [hep-th/9805020] is simplified, and used to calculate the asymptotic form of all SU(2) × SO(d=3, resp. 5) invariant wave functions satisfying Qβ Ψ= 0, β = 1 ... 4 resp. 8, where Qβ 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.