We study DBI-type effective theory of an unstable D3-brane in the background manifold ℝ1,1 × M2 where M 2 is an arbitrary two-dimensional manifold. We obtain an exact tubular D2-brane solution of arbitrary cross sectional shape by employing 1/ cosh tachyon potential. When M2 = S2, the solution is embedded in the background geometry ℝ1,3 × S2 of Salam-Sezgin model. This tachyon potential shows a unique property that an array of tachyon soliton solutions has a fixed period which is independent of integration constants of the equations of motion. The thin BPS limit of the configurations leads to supertubes of arbitrary cross sectional shapes. © SISSA/ISAS 2004.
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Kim, C., Kim, Y., & Kwon, O. K. (2004). Tubular D-branes in Salam-Sezgin model. Journal of High Energy Physics, 8(5), 417–429. https://doi.org/10.1088/1126-6708/2004/05/020