Domain Walls in Noncommutative Field Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 31 pages

Scientific paper

10.1088/1126-6708/2005/01/032

We study kinks in a wide class of noncommutative (NC) field theories. We find rich structure of the static kinks in DBI type NC tachyon action for an unstable D$p$-brane with general constant open string metric and NC parameter. Among which thick topological BPS NC kink and tensionless half-kink are particularly intriguing. Reproduction of the correct decent relation between D$p$ and D$(p-1)$ lets us interpret the obtained NC kinks as codimension-one D-brane and its composites. If we turn on DBI type NC U(1) gauge field on an unstable D2-brane, only constant field strength is allowed by gauge equation and NC Bianchi identity. Inclusion of the NC U(1) gauge field induces fundamental string charge localized on the codimension-one brane, which turns D$(p-1)$ into D$(p-1)$F1.

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