Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-20
JHEP0410:054,2004
Physics
High Energy Physics
High Energy Physics - Theory
8 pages. New references added and minor typos are corrected
Scientific paper
10.1088/1126-6708/2004/10/054
We present solutions in six-dimensional gravity coupled to a sigma model, in the presence of three-brane sources. The space transverse to the branes is a compact non-singular manifold. The example of O(3) sigma model in the presence of two three-branes is worked out in detail. We show that the four-dimensional flatness is obtained with a single condition involving the brane tensions, which are in general different and may be both positive, and another characteristic of the branes, vorticity. We speculate that the adjustment of the effective four-dimensional cosmological constant may occur through the exchange of vorticity between the branes. We then give exact instanton type solutions for sigma models targeted on a general K\"ahler manifold, and elaborate in this framework on multi-instantons of the O(3) sigma model. The latter have branes, possibly with vorticities, at the instanton positions, thus generalizing our two-brane solution.
Randjbar-Daemi Seif
Rubakov Valery
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