Remarks on noncommutative solitons
In the first part of this work we consider an unstable non-BPS Dp - <img border=0 width=11 height=12 src="/img/revistas/rmf/v49n1/a6i1.jpg">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 - <img border=0 width=11 height=12 src="/img/revistas/rmf/v49n1/a6i1.jpg">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.
| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2003
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2003000100006 |
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| Summary: | In the first part of this work we consider an unstable non-BPS Dp - <img border=0 width=11 height=12 src="/img/revistas/rmf/v49n1/a6i1.jpg">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 - <img border=0 width=11 height=12 src="/img/revistas/rmf/v49n1/a6i1.jpg">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. |
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