Resumo

GARCIA-COMPEAN, H.  e  MORENO, J.. Remarks on noncommutative solitons. Rev. mex. fis. [online]. 2003, vol.49, n.1, pp.28-39. ISSN 0035-001X.

In the first part of this work we consider an unstable non-BPS Dp - p-brane pair in Type II superstring theory. Turning on a background NS-NS B-field (constant and nonzero along two spatial directions), we show that the tachyon responsible for the unstability has a complex GMS solitonic solution, which is interpreted as the low energy remnant of the resulting D(p - 2)-brane. In the second part, we apply these results to construct the noncommutative soliton analogous of Witten's superconducting string. This is done by considering the complex GMS soliton arising from the D3 - 3-brane annihilation in Type IIB superstring theory. In the presence of left-handed fermions, we apply the Weyl-Wigner-Moyal correspondence and the bosonization technique to show that this object behaves like a superconducting wire.

Palavras-chave : Non-BPS branes; noncommutative soliton; superconducting string.