Split noncommutativity and compactified brane solutions in matrix models
High Energy Physics - Theory
2012-09-25 v4
Abstract
Solutions of the undeformed IKKT matrix model with structure R^{3,1} x K are presented, where the noncommutativity relates the compact with the non-compact space. The extra dimensions are stabilized by angular momentum, and the scales of K are generic moduli of the solutions. Explicit solutions are given for K= T^2, K= T^4, K = S^2 x T^2 and K = S^2 x S^2. Infinite towers of Kaluza-Klein modes may arise in some directions, along with an effective UV cutoff on the non-compact space. Deformations of these solutions carry NC gauge theory coupled to (emergent) gravity. Analogous solutions of the BFSS model are also given.
Keywords
Cite
@article{arxiv.1106.6153,
title = {Split noncommutativity and compactified brane solutions in matrix models},
author = {Harold Steinacker},
journal= {arXiv preprint arXiv:1106.6153},
year = {2012}
}
Comments
24 pages. V2, V3: typos fixed. V4: minor corrections