Worldvolume Uncertainty Relations for D-Branes

TL;DR

This paper derives a new set of uncertainty relations on D-brane worldvolumes by quantizing open strings in complex backgrounds, ensuring consistency with string and M-theory dualities, revealing a web of spacetime uncertainties across various branes.

Contribution

It introduces a novel form of uncertainty relations on D-branes, fixed by duality principles, extending to all brane types and M-theory objects.

Findings

Derived explicit uncertainty relations for D-branes.

Ensured relations are consistent with string and M-theory dualities.

Unified uncertainties across different brane probes.

Abstract

By quantizing an open string ending on a D-brane in a nontrivial supergravity background, we argue that there is a new kind of uncertainty relation on a D-brane worldvolume. Furthermore, we fix the form of the uncertainty relations and their dependence on the string coupling constant by requiring them to be consistent with various string theory and M theory dualities. In this way we find a web of uncertainties of spacetime for all kinds of brane probes, including fundamental strings, D-branes of all dimensions as well as M theory membranes and fivebranes.