D-Brane Recoil and Logarithmic Operators

TL;DR

This paper develops logarithmic operators to describe D-brane recoil, linking time translation with world-sheet rescaling, and explores implications for the string uncertainty principle and D-brane center-of-mass measurement.

Contribution

It introduces a novel pair of logarithmic operators specifically associated with D-brane recoil, establishing a new connection between time translation and world-sheet rescaling.

Findings

Logarithmic operators encode D-brane recoil effects.

A relationship between string uncertainty and logarithmic operators is identified.

Framework for measuring D-brane center-of-mass coordinate is discussed.

Abstract

We construct the pair of logarithmic operators associated with the recoil of a $D$-brane. This construction establishes a connection between a translation in time and a world-sheet rescaling. The problem of measuring the centre of mass coordinate of the $D$-brane is considered and the relation between the string uncertainty principle and the logarithmic operators is discussed.