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

2010/10/04 by Walter Van Herck, Van Herck, Walter
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Econometrics #Environmental science #FOS: Physical sciences #Flow (mathematics) #Geometry #High Energy Physics - Theory (hep-th) #Mathematical economics #Mathematics #Topological and Geometric Data Analysis #advanced mathematical theories #hep-th

paper · pdf · doi:10.48550/arxiv.1010.0686

15 pages

arxiv created 2010/10/04 · openalex publication_date 2010/10/04 · arxiv updated 2010/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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