Exact indices for D-particles, flow trees and the derived category

preprint2010arXivOpen access

Abstract

In arXiv:0909.0508 D-particle degeneracies were calculated using novel methods. By analysing this refined computation of the index in the setting of the topological B model, a correspondence is found between flow trees in the supergravity description and B-branes in the topological theory. This enables us to use the same refinement also for single flows. A concrete example will be given, providing strong support for this method, while at the same time confirming the prediction of a new elliptic genus in arXiv:0909.0508.

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