Transcribing spacetime data into matrices
Abstract
In certain supergravity backgrounds, D0 branes may polarize into higher dimensional Dp branes. We study this phenomenon in some generality from the perspective of a local inertial observer and explore polarization effects resulting from tidal-like forces. We find D2 brane droplets made of D0 branes at an extremum of the Born-Infeld action even in scenarios where the RR fields may be zero. These solutions lead us to a local formulation of the UV-IR correspondence. A holographic Planck scale bound on the number of D0 branes plays an important role in the analysis. We focus on the impact of higher order moments of background fields and work out extensions of the non-commutative algebra beyond the Lie and Heisenberg structures. In this context, it appears that q-deformed algebras come into play.
Keywords
Cite
@article{arxiv.hep-th/0010237,
title = {Transcribing spacetime data into matrices},
author = {Vatche Sahakian},
journal= {arXiv preprint arXiv:hep-th/0010237},
year = {2010}
}
Comments
24 pages, 1 figure; v2: solutions presented may not be stable and some discussion added in this regard; issue is to be addressed in an upcoming work; several changes made to the formalism; typos corrected; citations added