Noncommutative Tachyon Kinks as D$(p-1)$-branes from Unstable D$p$-brane

Rabin Banerjee; Yoonbai Kim; O-Kab Kwon

doi:10.1088/1126-6708/2005/01/023

paper

Noncommutative Tachyon Kinks as D $(p - 1)$ -branes from Unstable D $p$ -brane

arXiv:hep-th/0407229 · doi:10.1088/1126-6708/2005/01/023

Abstract

We study noncommutative (NC) field theory of a real NC tachyon and NC U(1) gauge field, describing the dynamics of an unstable D $p$ -brane. For every given set of diagonal component of open string metric $G_{0}$ , NC parameter $θ_{0}$ , and interpolating electric field $E^$ , we find all possible static NC kinks as exact solutions, in spite of complicated NC terms, which are classified by an array of NC kink-antikink and topological NC kinks. By computing their tensions and charges, those configurations are identified as an array of D0 $D ˉ$ 0 and single stable D0 from the unstable D1, respectively. When the interpolating electric field has critical value as $G_{0}^{2} = E^^{2}$ , the obtained topological kink becomes a BPS object with nonzero thickness and is identified as BPS D0 in the fluid of fundamental strings. Particularly in the scaling limit of infinite $θ_{0}$ and vanishing $G_{0}$ and $E^$ , while keeping $G_{0} θ_{0} = E^θ_{0} = 1$ , finiteness of the tension of NC kink corresponds to tensionless kink in ordinary effective field theory. An extension to stable D $(p - 1)$ from unstable D $p$ is straightforward for pure electric cases with parallel NC parameter and interpolating two-form field.

29 pages, references added

Noncommutative Tachyon Kinks as D $(p - 1)$ -branes from Unstable D $p$ -brane

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Noncommutative Tachyon Kinks as D(p−1)-branes from Unstable Dp-brane

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Noncommutative Tachyon Kinks as D $(p - 1)$ -branes from Unstable D $p$ -brane