BPS Microstates and the Open Topological String Wave Function

Aganagic, Mina; Neitzke, Andrew; Vafa, Cumrun

BPS Microstates and the Open Topological String Wave Function

Authors

Aganagic, Mina

Neitzke, Andrew

Vafa, Cumrun

Description

It has recently been conjectured that the closed topological string wave function computes a grand canonical partition function of BPS black hole states in 4 dimensions: Z_BH=|psi_top|^2. We conjecture that the open topological string wave function also computes a grand canonical partition function, which sums over black holes bound to BPS excitations on D-branes wrapping cycles of the internal Calabi-Yau: Z^open_BPS=|psi^open_top|^2. This conjecture is verified in the case of Type IIA on a local Calabi-Yau threefold involving a Riemann surface, where the degeneracies of BPS states can be computed in q-deformed 2-dimensional Yang-Mills theory.
50 pages, LaTeX