D-Brane Dynamics and Logarithmic Superconformal Algebras

Details D-Brane Dynamics and Logarithmic Superconformal Algebras D-Brane Dynamics and Logarithmic Superconformal Algebras

2001-06-27

arxiv.org/abs/hep-th/0106259v2

JHEP 0110:027,2001

Physics

High Energy Physics

High Energy Physics - Theory

22 pages LaTeX; Typos corrected, references added, various clarifying comments concerning zero dimension states added througho

Scientific paper

10.1088/1126-6708/2001/10/027

We construct the consistent supersymmetric extensions of the operators describing the recoil of a D-brane and show that they realize an N=1 logarithmic superconformal algebra. The corresponding supersymmetric vertex operator is related to the action of a twisted superparticle with twist field determined by the angular momentum of the recoiling D-brane and with explicitly broken kappa-symmetry. We show that the superconformal completion removes the logarithmic modular divergences that are present in the bosonic string loop scattering amplitudes. These features are all consequences of the relationship that exists in these models between worldsheet rescaling and the time evolution of the D-brane in target space.

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