Tubular D-branes in Salam-Sezgin Model

TL;DR

This paper derives exact tubular D2-brane solutions with arbitrary shapes in a specific string theory background, revealing properties of tachyon solitons and their relation to supertubes.

Contribution

It presents a novel exact solution for tubular D2-branes with arbitrary cross sections using a specific tachyon potential in the Salam-Sezgin model.

Findings

Exact tubular D2-brane solutions with arbitrary shapes

Unique periodicity property of tachyon soliton arrays

Connection to supertubes in the BPS limit

Abstract

We study DBI-type effective theory of an unstable D3-brane in the background manifold R^{1,1} x M_2 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 M_2=S^2, the solution is embedded in the background geometry R^{1,3} x S^2 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.