The D0-brane metric in N = 2 sigma models

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.Comment: 17 pages, harvmac.tex compiled "big". Conclusions changed. The D0 metric DOES recieve an $R^2$ contribution at two loop order. corrected, changing the conclusion