D-branes, B fields, and Ext groups

Details D-branes, B fields, and Ext groups D-branes, B fields, and Ext groups

2003-02-13

arxiv.org/abs/hep-th/0302099v4

Adv.Theor.Math.Phys. 7 (2004) 381-404

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LaTeX; v2: typos fixed; v3: reference added

Scientific paper

In this paper we extend previous work on calculating massless boundary Ramond sector spectra of open strings to include cases with nonzero flat B fields. In such cases, D-branes are no longer well-modelled precisely by sheaves, but rather they are replaced by `twisted' sheaves, reflecting the fact that gauge transformations of the B field act as affine translations of the Chan-Paton factors. As in previous work, we find that the massless boundary Ramond sector states are counted by Ext groups -- this time, Ext groups of twisted sheaves. As before, the computation of BRST cohomology relies on physically realizing some spectral sequences. Subtleties that cropped up in previous work also appear here.

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