JournalsprimsVol. 47, No. 2pp. 569–584

Wall Crossing and M-Theory

  • Mina Aganagic

    University of California, Berkeley, USA
  • Hirosi Ooguri

    California Institute of Technology, Pasadena, USA
  • Cumrun Vafa

    Harvard University, Cambridge, USA
  • Masahito Yamazaki

    California Institute of Technology, Pasadena, USA
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Abstract

We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold XX. When XX 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 XX. 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 Kähler moduli space.

Cite this article

Mina Aganagic, Hirosi Ooguri, Cumrun Vafa, Masahito Yamazaki, Wall Crossing and M-Theory. Publ. Res. Inst. Math. Sci. 47 (2011), no. 2, pp. 569–584

DOI 10.2977/PRIMS/44