M-theory and a Topological String Duality

Abstract

We show how the topological string partition function, which is known to capture the degeneracies of a gas of BPS spinning M2-branes in M-theory compactified to 5 dimensions, is related to a 4-dimensional D-brane system that consists of single D6-brane bound to lower-dimensional branes. This system is described by a topologically twisted U(1) gauge theory, that has been conjecturally identified with quantum foam models and topological strings. This also explains, assuming the identification of Donaldson-Thomas invariants with this U(1) gauge theory, the conjectural relation between DT invariants and topological strings. Our results provide further mathematical evidence for the recently found connection between 4d and 5d black holes.

15 pages, 1 figure

References in corpus (3)

• From AdS3/CFT2 to Black Holes/Topological Strings
• On the partition sum of the NS five-brane
• Topological strings and their physical applications

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• Crystal Melting and Toric Calabi-Yau Manifolds
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
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• Topological Quiver Matrix Models and Quantum Foam
• The Spectra of Supersymmetric States in String Theory
• Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles
• Abelian Varieties, RCFTs, Attractors, and Hitchin Functional in Two Dimensions
• Geometry As Seen By String Theory