English

Wall Crossing and M-theory

High Energy Physics - Theory 2011-07-14 v1 Algebraic Geometry

Abstract

We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X. When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X. The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kahler moduli space.

Keywords

Cite

@article{arxiv.0908.1194,
  title  = {Wall Crossing and M-theory},
  author = {Mina Aganagic and Hirosi Ooguri and Cumrun Vafa and Masahito Yamazaki},
  journal= {arXiv preprint arXiv:0908.1194},
  year   = {2011}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-21T13:33:44.670Z