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arXiv · 1106.6153

Split noncommutativity and compactified brane solutions in matrix models

Harold Steinacker
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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.

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Harold Steinacker. 2012-09-24. Split noncommutativity and compactified brane solutions in matrix models. https://doi.org/10.1143/ptp.126.613

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