Backreaction I: The Torus

TL;DR

This paper explores how D-brane probes can measure local moduli perturbations in compactifications, leading to a conjectured uncertainty principle in Calabi-Yau moduli space, starting with a torus example.

Contribution

It introduces a novel uncertainty principle for Calabi-Yau moduli space based on backreaction effects observed through D-brane probes.

Findings

Backreaction affects multiple moduli measurements

Proposes a new uncertainty principle in moduli space

Initial analysis on a torus geometry

Abstract

We use wrapped D-brane probes to measure position dependent perturbations of compactification moduli. Due to the backreaction of the D-branes on the local geometry, we suspect that measuring the fluctuations of one modulus to high precision will generically affect the others. These considerations lead us to conjecture a novel uncertainty principle on the Calabi-Yau moduli space. We begin our investigation with a gedanken experiment on a torus.