Tachyon kinks

Abstract

We study Born-Infeld type tachyonic effective action of unstable D2-brane with a runaway potential and find rich structure of static regular solitonic solutions. There exists only periodic array of tachyon kink-antikinks in pure tachyonic theory, however, in the presence of electromagnetic fields, solutions include periodic arrays, topological tachyon kinks, half kink, and bounces. Computed tension of each kink or single unit of the periodic array has T 1 = √ 2πT 2 or that with a multiplicative factor depending on electric field. When both electric and magnetic fields are turned on, fundamental string charge density has a confined component in addition to a constant piece. These evidences imply that the obtained codimension-1 objects are likely to be interpreted as D1-brane (and D1F1) or array of D1D1 (and D1F1-D1F1) as was the case without the electromagnetic fields. Generalization to unstable Dpbranes is straightforward.

Deforming tachyon kinks and tachyon potentials

“…which is the result found in [3,5]. Now consider the electric field E is not constant and can be related to a deformation function according to (15).…”

“…From the total energy (21) we can reduce the problem of finding tachyon kinks solutions to the problem of solving a first-order differential equation consistent with the tachyon equation (3). The solutions are found via equation…”

“…It has been conceived in the literature [1,2] that the D-branes in string theory can be viewed as realizations of tachyon kinks [3,4,5,6,7,8,9,10]. Higher dimensional branes can be related to lower dimensional ones via descent relations [11].…”

“…In this paper we investigate deformed tachyon potentials and deformed tachyon kinks, following the lines of developments on tachyon kinks put forward in [3,5]. Our main goal here is to address the aforementioned issue just by deforming "string theory motivated" tachyon potentials to get other consistent tachyon potentials by using properly the functional form of the gauge field components.…”

Perturbations and moduli space dynamics of tachyon kinks

“…It is known that there are solutions depending on only one space coordinate, which we denote x [19,26,27]. In this case, the static but inhomogeneous field equation reduces to:…”