Communications in Mathematical Physics

, Volume 259, Issue 1, pp 45–69 | Cite as

Massless D-Branes on Calabi–Yau Threefolds and Monodromy

  • Paul S Aspinwall
  • R. Paul Horja
  • Robert L. Karp


We analyze the link between the occurrence of massless B-type D-branes for specific values of moduli and monodromy around such points in the moduli space. This allows us to propose a classification of all massless B-type D-branes at any point in the moduli space of Calabi–Yau’s. This classification then justifies a previous conjecture due to Horja for the general form of monodromy. Our analysis is based on using monodromies around points in moduli space where a single D-brane becomes massless to generate monodromies around points where an infinite number become massless. We discuss the various possibilities within the classification.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Modulus Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Paul S Aspinwall
    • 1
  • R. Paul Horja
    • 2
  • Robert L. Karp
    • 1
  1. 1.Center for Geometry and Theoretical PhysicsDuke UniversityDurhamUSA
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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