Supersymmetric Boost on Intersecting D-branes

Abstract

We study the effect of the Born-Infeld electric field on the supersymmetric configuration of various composite D-branes. We show that the generic values of the electric field do not affect the supersymmetry but, as it approaches 1/2πα ′ keeping the magnetic field finite, various combinations of the magnetic fields allow up to 8 supersymmetries. We also explore the unbroken supersymmetries for two intersecting D-strings which are in uniform or relative motion. For a finite uniform Lorentz boost, 16 supersymmetries are guaranteed only when they are parallel. For an infinite one, 8 supersymmetries are preserved only when both the D-strings are oriented to the forward or backward direction of the boost. Under a finite relative boost, 8 supersymmetries are preserved only when the intersecting angle is less than π/2 and the intersecting point moves at the speed of light. As for an infinite relative boost, 8 supersymmetries are preserved regardless of the values of the intersecting angle. * Electronic address: jhcho@taegeug.skku.ac.kr † Electronic address: ploh@newton.skku.ac.kr

Lineal Trails of D{2} - overline-{D{2}} Superstrings

“…The same physics can be read off in the T-dualized configuration, which is nothing but a D2-D2 pair with e = v, e ′ = 0 and b = 0, b ′ = tan φ. See [3] for details. The tachyon removal condition reads as β 2 = 1 − e 2 1 + b 2 − 1 2 = −v 2 sec 2 φ + tan 2 φ = 1 cos 2 φ −v 2 + sin 2 φ → 0, (7.1) which corresponds to the condition for the intersecting point of the scissors to move with the speed of light.…”

“…Especially for odd values of k, D0-D(2k)-brane system can be supersymmetric in the presence of suitable background Born-Infeld (BI) magnetic fields [1,2]. The BI electric fields add more possibilities of the supersymmetries to the D-brane composite systems [3]. In the T-dual description, they can be connected to two D-strings at angle (scissors) and in a relative motion.…”

Schwinger Effect in Nonparallel D1-Branes: A Path Integral Approach

“…where b = 1 π tan −1 B. One must note that switching on the electric flux in a magnetized D2-D2 or (D2-D2) system leads to a moving intersecting D1-branes at angle (a moving scissor) in T-dual picture [14,[20][21][22].…”

Supergravity null scissors and super-crosses

“…We introduce the transverse perturbation represented by a charged string in the background of (4.2) as 5) and the equation of motion for the charged string perturbation is reduced to 6) or to a more physically transparent form as…”