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Wrapped brane gas as a candidate for dark matter

We consider brane gas models based on type II string theories and analyze the mass, the Ramond-Ramond charge, and the charge on moduli fluctuations of branes wrapping over cycles of a compactified space in the four-dimensional Einstein frame. A six-dimensional torus and Calabi-Yau threefolds are considered for the Kaluza-Klein reduction. A large volume of the compactified space and a weak string coupling gives rise to point particles of the wrapped branes which have a light mass and a small charge of the Ramond-Ramond flux and of the moduli fluctuations, while the particles become very heavy in the string frame. We find that the masses and the charges satisfy the seesaw like dual relations which become time independent in the four-dimensional Einstein frame.