BPS Microstates and the Open Topological String Wave Function
高能物理 - 理论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.hep-th/0504054,
title = {BPS Microstates and the Open Topological String Wave Function},
author = {Mina Aganagic and Andrew Neitzke and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/0504054},
year = {2007}
}
备注
50 pages, LaTeX