Domain Walls in Noncommutative Field Theories

Abstract

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.

LaTeX, 31 pages

Cited by in corpus (5)

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• Tachyon Kinks in Boundary String Field Theory
• Dark Solitons, D-branes and Noncommutative Tachyon Field Theory
• Tachyon Tunnelling in D-brane-anti-D-brane
• Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory