Main Question or Discussion Point
can there be such an ST with BI?
Ah!..I see something here, could I ask why the diagonal matrices seem to be DYNAMICAL?..and if the standard blocks are really static?Originally posted by Urs
The more prominent candidate for a non-perturbative formulation of
The BFSS matrix model has several intepretations: The one inherited from the YM theory is that of a quantum mechanics of N D0 brains (pointlike brains) between which ground state strings stretch. The matrices in the model can be interpreted as the coordinates of the D0 branes and the non-commutativity of these coordinates comes, heuristically, from this non-local interconnection.
The second interpretation is maybe more surprising: One can start quantizing the supermembrane, the +1dim analogue of the string qhich lives in 11 dimensions. It turns out that the Hamiltonian of this membrane can be regularized by replacing coordinates by matrices. Fiddling around with this the Hamiltonian can be shown to be that of the BFSS matrix model. Blocks of block diagonal matrices represent blobs of membrane which interact via the non-diagonal elements.
In any case, one can show that many elements and amplitudes of string theory can be reproduced from the matrix model. Because the matrix model is non-perturbatively formulated it was conjectured to be _the_ non-perturbative formulation for a given asymptotical defined spacetime.
This is not precisely "background independent", but it is very interesting.