The D0-brane metric in N = 2 sigma models

TL;DR

This paper calculates the D0-brane metric in N=2 sigma models using boundary correlators, revealing a two-loop R^2 correction to the metric, which enhances understanding of D-brane dynamics in such backgrounds.

Contribution

It provides a novel two-loop calculation of the D0-brane metric in N=2 sigma models, including the first explicit R^2 correction.

Findings

The D0-brane metric is computed via the Zamolodchikov metric on boundary operators.

A two-loop R^2 contribution to the D0-brane metric is identified.

The results improve understanding of quantum corrections to D-brane geometries.

Abstract

We investigate the physical metric seen by a D0-brane probe in the background geometry of an N=2 sigma model. The metric is evaluated by calculating the Zamolodchikov metric for the disc two point function of the boundary operators corresponding to the displacement of the D0-brane boundary. At two loop order we show that the D0 metric receives an $R^2$ contribution.