Rolling of a modulated tachyon with gauge flux and an emergent fundamental string

Abstract

We investigate real-time tachyon dynamics of unstable D-brane carrying fundamental string charge. We construct the boundary state relevant for rolling of modulated tachyon with gauge fields excited on the world-volume, and study spatial distribution of the fundamental string charge and current as the D-brane decays. We find that, in contrast to homogeneous tachyon rolling, spatial modulation of the tachyon field triggers density wave of strings when electric field is turned on, and of string anti-string pairs when magnetic field is turned on. We show that the energy density and the fundamental string charge density are locked together, and evolve into a localized delta-function array (instead of evolving into a string fluid) until a critical time set by rolling tachyon's initial condition. When the gauge fields approach the critical limit, the fundamental strings produced become BPS-like. We also study the dynamics via effective field theory, and find agreement.

Tachyon kinks

“…(4.14) and (4.15), respectively. Its asymptotic slopes are 29) which are shown by the two solid straight lines in Fig. 8.…”

“…Another intriguing question is on the small fluctuations on stable objects, i.e., the study of the worldvolume action of zero modes and possible existence of supersymmetry. Our approach is based on effective field theory so the obtained results should be understood in terms of string (field) theory [27,28,29]. Finally it would be quite interesting to investigate the role of our solutions in understanding dynamical process of D-brane decays.…”

Particle Production on Half S-Brane

“…These S-branes can be thought as the creation and subsequent decay of an unstable brane. This process has recently attracted much attention [1,2,3,4,5,6,7,9,10,12,21,22,23,24,21,27,28,11,29,30,31,32,33,34,35,36,37,38,41,42,43] 2 . S-branes have been also extensively studied in supergravity approach with potentially interesting cosmological applications [44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,…”

Time evolution viaS-branes

“…[46] have also recently discussed solutions which can dynamically produce fundamental strings. It would be interesting to further explore the relationship between their boundary state analysis and S-brane solutions.…”