Logarithmic Operators Fold D branes into AdS_3

TL;DR

This paper employs logarithmic conformal field theory to analyze recoil effects in D-brane scattering, revealing that a D1 brane striking a D3 brane results in a maximally symmetric AdS_3 x E_{D-3} spacetime, with potential implications for background metric transitions.

Contribution

It introduces a novel application of logarithmic conformal field theory to describe D-brane recoil effects and identifies the resulting spacetime geometry as AdS_3 x E_{D-3}.

Findings

Recoil effects lead to AdS_3 x E_{D-3} geometry.

Maximal symmetry of the recoil spacetime.

Implications for background metric transitions.

Abstract

We use logarithmic conformal field theory techniques to describe recoil effects in the scattering of two Dirichlet branes in D dimensions. In the particular case that a D1 brane strikes a D3 brane perpendicularly, thereby folding it, we find that the recoil space-time is maximally symmetric, with AdS_3 x E_{D-3} geometry. We comment on the possible applications of this result to the study of transitions between different background metrics.