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Brane compactifications and 4-dimensional geometry in the IKKT model · Around

2013

Brane compactifications and 4-dimensional geometry in the IKKT model

Polychronakos, Alexios P., Steinacker, Harold, Zahn, Jochen

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We study in detail certain brane solutions with compact extra dimensions M^4 x K in the IKKT matrix model, with K being a two-dimensional rotating torus embedded in R^6.

We focus on the compactification moduli and the fluctuations of K \subset R^6 and their physical significance.
Mediated by the Poisson tensor, they contribute to the effective 4-dimensional metric on the brane, and thereby become gravitational degrees of freedom.
We show that the zero modes corresponding to the global symmetries of the model lead to Ricci-flat 4-dimensional metric perturbations, wherever the energy-momentum tensor vanishes.

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